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Finding the Fourth Proportional to 752.60, 1,129.22 and 405.53

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Solution

The fourth proportional to 752.60, 1,129.22 and 405.53 is: 608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.60 : 1,129.22 = 405.53 : x
  2. Step 2: Convert to fraction form
    752.60/1,129.22 = 405.53/x
  3. Step 3: Cross multiply
    752.60x = 1,129.22 × 405.53
  4. Step 4: Simplify right side
    752.60x = 457,924.91
  5. Step 5: Solve for x
    x = 457,924.91/752.60
  6. Step 6: Final answer
    x = 608.46

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Why These Related Problems?

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