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Finding the Fourth Proportional to 746.78, 1,030.41 and 415.13

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Solution

The fourth proportional to 746.78, 1,030.41 and 415.13 is: 572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.78 : 1,030.41 = 415.13 : x
  2. Step 2: Convert to fraction form
    746.78/1,030.41 = 415.13/x
  3. Step 3: Cross multiply
    746.78x = 1,030.41 × 415.13
  4. Step 4: Simplify right side
    746.78x = 427,754.10
  5. Step 5: Solve for x
    x = 427,754.10/746.78
  6. Step 6: Final answer
    x = 572.80

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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.