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Finding the Fourth Proportional to 746.13, 1,027.98 and 524.73

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Solution

The fourth proportional to 746.13, 1,027.98 and 524.73 is: 722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.13 : 1,027.98 = 524.73 : x
  2. Step 2: Convert to fraction form
    746.13/1,027.98 = 524.73/x
  3. Step 3: Cross multiply
    746.13x = 1,027.98 × 524.73
  4. Step 4: Simplify right side
    746.13x = 539,411.95
  5. Step 5: Solve for x
    x = 539,411.95/746.13
  6. Step 6: Final answer
    x = 722.95

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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.