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Finding the Fourth Proportional to 1,062.60, 1,594.14 and 437.88

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Solution

The fourth proportional to 1,062.60, 1,594.14 and 437.88 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.60 : 1,594.14 = 437.88 : x
  2. Step 2: Convert to fraction form
    1,062.60/1,594.14 = 437.88/x
  3. Step 3: Cross multiply
    1,062.60x = 1,594.14 × 437.88
  4. Step 4: Simplify right side
    1,062.60x = 698,042.02
  5. Step 5: Solve for x
    x = 698,042.02/1,062.60
  6. Step 6: Final answer
    x = 656.92

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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.