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Finding the Fourth Proportional to 752.61, 1,127.70 and 535.13

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Solution

The fourth proportional to 752.61, 1,127.70 and 535.13 is: 801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.61 : 1,127.70 = 535.13 : x
  2. Step 2: Convert to fraction form
    752.61/1,127.70 = 535.13/x
  3. Step 3: Cross multiply
    752.61x = 1,127.70 × 535.13
  4. Step 4: Simplify right side
    752.61x = 603,460.46
  5. Step 5: Solve for x
    x = 603,460.46/752.61
  6. Step 6: Final answer
    x = 801.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.