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Finding the Fourth Proportional to 1,142.72, 1,714.94 and 594.86

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Solution

The fourth proportional to 1,142.72, 1,714.94 and 594.86 is: 892.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.72 : 1,714.94 = 594.86 : x
  2. Step 2: Convert to fraction form
    1,142.72/1,714.94 = 594.86/x
  3. Step 3: Cross multiply
    1,142.72x = 1,714.94 × 594.86
  4. Step 4: Simplify right side
    1,142.72x = 1,020,139.89
  5. Step 5: Solve for x
    x = 1,020,139.89/1,142.72
  6. Step 6: Final answer
    x = 892.73

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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.