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Finding the Fourth Proportional to 746.29, 1,029.80 and 414.71

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Solution

The fourth proportional to 746.29, 1,029.80 and 414.71 is: 572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.29 : 1,029.80 = 414.71 : x
  2. Step 2: Convert to fraction form
    746.29/1,029.80 = 414.71/x
  3. Step 3: Cross multiply
    746.29x = 1,029.80 × 414.71
  4. Step 4: Simplify right side
    746.29x = 427,061.14
  5. Step 5: Solve for x
    x = 427,061.14/746.29
  6. Step 6: Final answer
    x = 572.25

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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.