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Finding the Fourth Proportional to 752.42, 1,129.80 and 465.68

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Solution

The fourth proportional to 752.42, 1,129.80 and 465.68 is: 699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.42 : 1,129.80 = 465.68 : x
  2. Step 2: Convert to fraction form
    752.42/1,129.80 = 465.68/x
  3. Step 3: Cross multiply
    752.42x = 1,129.80 × 465.68
  4. Step 4: Simplify right side
    752.42x = 526,125.26
  5. Step 5: Solve for x
    x = 526,125.26/752.42
  6. Step 6: Final answer
    x = 699.24

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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.