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Finding the Fourth Proportional to 748.77, 1,033.19 and 417.15

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Solution

The fourth proportional to 748.77, 1,033.19 and 417.15 is: 575.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.77 : 1,033.19 = 417.15 : x
  2. Step 2: Convert to fraction form
    748.77/1,033.19 = 417.15/x
  3. Step 3: Cross multiply
    748.77x = 1,033.19 × 417.15
  4. Step 4: Simplify right side
    748.77x = 430,995.21
  5. Step 5: Solve for x
    x = 430,995.21/748.77
  6. Step 6: Final answer
    x = 575.60

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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.