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Finding the Fourth Proportional to 1,565.68, 2,348.52 and 411.42

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Solution

The fourth proportional to 1,565.68, 2,348.52 and 411.42 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.68 : 2,348.52 = 411.42 : x
  2. Step 2: Convert to fraction form
    1,565.68/2,348.52 = 411.42/x
  3. Step 3: Cross multiply
    1,565.68x = 2,348.52 × 411.42
  4. Step 4: Simplify right side
    1,565.68x = 966,228.10
  5. Step 5: Solve for x
    x = 966,228.10/1,565.68
  6. Step 6: Final answer
    x = 617.13

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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.