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Finding the Fourth Proportional to 1,565.40, 2,348.11 and 578.95

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Solution

The fourth proportional to 1,565.40, 2,348.11 and 578.95 is: 868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.40 : 2,348.11 = 578.95 : x
  2. Step 2: Convert to fraction form
    1,565.40/2,348.11 = 578.95/x
  3. Step 3: Cross multiply
    1,565.40x = 2,348.11 × 578.95
  4. Step 4: Simplify right side
    1,565.40x = 1,359,434.77
  5. Step 5: Solve for x
    x = 1,359,434.77/1,565.40
  6. Step 6: Final answer
    x = 868.43

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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.