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Finding the Fourth Proportional to 1,200.34, 1,656.66 and 757.90

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Solution

The fourth proportional to 1,200.34, 1,656.66 and 757.90 is: 1,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.34 : 1,656.66 = 757.90 : x
  2. Step 2: Convert to fraction form
    1,200.34/1,656.66 = 757.90/x
  3. Step 3: Cross multiply
    1,200.34x = 1,656.66 × 757.90
  4. Step 4: Simplify right side
    1,200.34x = 1,255,582.61
  5. Step 5: Solve for x
    x = 1,255,582.61/1,200.34
  6. Step 6: Final answer
    x = 1,046.02

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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.