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Finding the Fourth Proportional to 752.55, 1,127.75 and 559.95

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Solution

The fourth proportional to 752.55, 1,127.75 and 559.95 is: 839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.55 : 1,127.75 = 559.95 : x
  2. Step 2: Convert to fraction form
    752.55/1,127.75 = 559.95/x
  3. Step 3: Cross multiply
    752.55x = 1,127.75 × 559.95
  4. Step 4: Simplify right side
    752.55x = 631,480.81
  5. Step 5: Solve for x
    x = 631,480.81/752.55
  6. Step 6: Final answer
    x = 839.12

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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.