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Finding the Fourth Proportional to 1,043.34, 1,565.28 and 556.26

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Solution

The fourth proportional to 1,043.34, 1,565.28 and 556.26 is: 834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.34 : 1,565.28 = 556.26 : x
  2. Step 2: Convert to fraction form
    1,043.34/1,565.28 = 556.26/x
  3. Step 3: Cross multiply
    1,043.34x = 1,565.28 × 556.26
  4. Step 4: Simplify right side
    1,043.34x = 870,702.65
  5. Step 5: Solve for x
    x = 870,702.65/1,043.34
  6. Step 6: Final answer
    x = 834.53

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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.