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Finding the Fourth Proportional to 1,046.52, 1,567.96 and 558.09

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Solution

The fourth proportional to 1,046.52, 1,567.96 and 558.09 is: 836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.52 : 1,567.96 = 558.09 : x
  2. Step 2: Convert to fraction form
    1,046.52/1,567.96 = 558.09/x
  3. Step 3: Cross multiply
    1,046.52x = 1,567.96 × 558.09
  4. Step 4: Simplify right side
    1,046.52x = 875,061.40
  5. Step 5: Solve for x
    x = 875,061.40/1,046.52
  6. Step 6: Final answer
    x = 836.16

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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.