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Finding the Fourth Proportional to 816.75, 1,127.19 and 467.46

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Solution

The fourth proportional to 816.75, 1,127.19 and 467.46 is: 645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.75 : 1,127.19 = 467.46 : x
  2. Step 2: Convert to fraction form
    816.75/1,127.19 = 467.46/x
  3. Step 3: Cross multiply
    816.75x = 1,127.19 × 467.46
  4. Step 4: Simplify right side
    816.75x = 526,916.24
  5. Step 5: Solve for x
    x = 526,916.24/816.75
  6. Step 6: Final answer
    x = 645.14

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Find fourth proportional to 408.38, 563.60 and 233.73
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.