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Finding the Fourth Proportional to 1,114.31, 1,670.37 and 383.69

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Solution

The fourth proportional to 1,114.31, 1,670.37 and 383.69 is: 575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.31 : 1,670.37 = 383.69 : x
  2. Step 2: Convert to fraction form
    1,114.31/1,670.37 = 383.69/x
  3. Step 3: Cross multiply
    1,114.31x = 1,670.37 × 383.69
  4. Step 4: Simplify right side
    1,114.31x = 640,895.91
  5. Step 5: Solve for x
    x = 640,895.91/1,114.31
  6. Step 6: Final answer
    x = 575.15

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.