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Finding the Fourth Proportional to 1,142.08, 1,714.19 and 594.65

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Solution

The fourth proportional to 1,142.08, 1,714.19 and 594.65 is: 892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.08 : 1,714.19 = 594.65 : x
  2. Step 2: Convert to fraction form
    1,142.08/1,714.19 = 594.65/x
  3. Step 3: Cross multiply
    1,142.08x = 1,714.19 × 594.65
  4. Step 4: Simplify right side
    1,142.08x = 1,019,343.08
  5. Step 5: Solve for x
    x = 1,019,343.08/1,142.08
  6. Step 6: Final answer
    x = 892.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.