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Finding the Fourth Proportional to 746.86, 1,030.57 and 415.24

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Solution

The fourth proportional to 746.86, 1,030.57 and 415.24 is: 572.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.86 : 1,030.57 = 415.24 : x
  2. Step 2: Convert to fraction form
    746.86/1,030.57 = 415.24/x
  3. Step 3: Cross multiply
    746.86x = 1,030.57 × 415.24
  4. Step 4: Simplify right side
    746.86x = 427,938.40
  5. Step 5: Solve for x
    x = 427,938.40/746.86
  6. Step 6: Final answer
    x = 572.98

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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.