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Finding the Fourth Proportional to 1,047.26, 1,569.21 and 553.65

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Solution

The fourth proportional to 1,047.26, 1,569.21 and 553.65 is: 829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.26 : 1,569.21 = 553.65 : x
  2. Step 2: Convert to fraction form
    1,047.26/1,569.21 = 553.65/x
  3. Step 3: Cross multiply
    1,047.26x = 1,569.21 × 553.65
  4. Step 4: Simplify right side
    1,047.26x = 868,793.12
  5. Step 5: Solve for x
    x = 868,793.12/1,047.26
  6. Step 6: Final answer
    x = 829.59

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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.