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Finding the Fourth Proportional to 1,565.26, 2,348.12 and 469.71

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Solution

The fourth proportional to 1,565.26, 2,348.12 and 469.71 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.26 : 2,348.12 = 469.71 : x
  2. Step 2: Convert to fraction form
    1,565.26/2,348.12 = 469.71/x
  3. Step 3: Cross multiply
    1,565.26x = 2,348.12 × 469.71
  4. Step 4: Simplify right side
    1,565.26x = 1,102,940.14
  5. Step 5: Solve for x
    x = 1,102,940.14/1,565.26
  6. Step 6: Final answer
    x = 704.64

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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.