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Finding the Fourth Proportional to 1,553.36, 2,329.30 and 565.47

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Solution

The fourth proportional to 1,553.36, 2,329.30 and 565.47 is: 847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.36 : 2,329.30 = 565.47 : x
  2. Step 2: Convert to fraction form
    1,553.36/2,329.30 = 565.47/x
  3. Step 3: Cross multiply
    1,553.36x = 2,329.30 × 565.47
  4. Step 4: Simplify right side
    1,553.36x = 1,317,146.80
  5. Step 5: Solve for x
    x = 1,317,146.80/1,553.36
  6. Step 6: Final answer
    x = 847.94

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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.