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Finding the Fourth Proportional to 1,043.31, 1,565.30 and 556.24

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Solution

The fourth proportional to 1,043.31, 1,565.30 and 556.24 is: 834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.31 : 1,565.30 = 556.24 : x
  2. Step 2: Convert to fraction form
    1,043.31/1,565.30 = 556.24/x
  3. Step 3: Cross multiply
    1,043.31x = 1,565.30 × 556.24
  4. Step 4: Simplify right side
    1,043.31x = 870,685.72
  5. Step 5: Solve for x
    x = 870,685.72/1,043.31
  6. Step 6: Final answer
    x = 834.55

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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.