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Finding the Fourth Proportional to 1,200.42, 1,657.40 and 752.47

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Solution

The fourth proportional to 1,200.42, 1,657.40 and 752.47 is: 1,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.42 : 1,657.40 = 752.47 : x
  2. Step 2: Convert to fraction form
    1,200.42/1,657.40 = 752.47/x
  3. Step 3: Cross multiply
    1,200.42x = 1,657.40 × 752.47
  4. Step 4: Simplify right side
    1,200.42x = 1,247,145.20
  5. Step 5: Solve for x
    x = 1,247,145.20/1,200.42
  6. Step 6: Final answer
    x = 1,038.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.