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Finding the Fourth Proportional to 752.98, 1,129.26 and 510.99

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Solution

The fourth proportional to 752.98, 1,129.26 and 510.99 is: 766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.98 : 1,129.26 = 510.99 : x
  2. Step 2: Convert to fraction form
    752.98/1,129.26 = 510.99/x
  3. Step 3: Cross multiply
    752.98x = 1,129.26 × 510.99
  4. Step 4: Simplify right side
    752.98x = 577,040.57
  5. Step 5: Solve for x
    x = 577,040.57/752.98
  6. Step 6: Final answer
    x = 766.35

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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.