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Finding the Fourth Proportional to 1,142.94, 1,714.71 and 557.88

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Solution

The fourth proportional to 1,142.94, 1,714.71 and 557.88 is: 836.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.94 : 1,714.71 = 557.88 : x
  2. Step 2: Convert to fraction form
    1,142.94/1,714.71 = 557.88/x
  3. Step 3: Cross multiply
    1,142.94x = 1,714.71 × 557.88
  4. Step 4: Simplify right side
    1,142.94x = 956,602.41
  5. Step 5: Solve for x
    x = 956,602.41/1,142.94
  6. Step 6: Final answer
    x = 836.97

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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.