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Finding the Fourth Proportional to 1,043.60, 1,565.86 and 549.89

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Solution

The fourth proportional to 1,043.60, 1,565.86 and 549.89 is: 825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.60 : 1,565.86 = 549.89 : x
  2. Step 2: Convert to fraction form
    1,043.60/1,565.86 = 549.89/x
  3. Step 3: Cross multiply
    1,043.60x = 1,565.86 × 549.89
  4. Step 4: Simplify right side
    1,043.60x = 861,042.93
  5. Step 5: Solve for x
    x = 861,042.93/1,043.60
  6. Step 6: Final answer
    x = 825.07

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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.