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Finding the Fourth Proportional to 1,142.60, 1,714.16 and 594.65

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Solution

The fourth proportional to 1,142.60, 1,714.16 and 594.65 is: 892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.60 : 1,714.16 = 594.65 : x
  2. Step 2: Convert to fraction form
    1,142.60/1,714.16 = 594.65/x
  3. Step 3: Cross multiply
    1,142.60x = 1,714.16 × 594.65
  4. Step 4: Simplify right side
    1,142.60x = 1,019,331.02
  5. Step 5: Solve for x
    x = 1,019,331.02/1,142.60
  6. Step 6: Final answer
    x = 892.12

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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.