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Finding the Fourth Proportional to 752.10, 1,037.61 and 472.23

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Solution

The fourth proportional to 752.10, 1,037.61 and 472.23 is: 651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.10 : 1,037.61 = 472.23 : x
  2. Step 2: Convert to fraction form
    752.10/1,037.61 = 472.23/x
  3. Step 3: Cross multiply
    752.10x = 1,037.61 × 472.23
  4. Step 4: Simplify right side
    752.10x = 489,990.57
  5. Step 5: Solve for x
    x = 489,990.57/752.10
  6. Step 6: Final answer
    x = 651.50

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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.