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Finding the Fourth Proportional to 1,565.64, 2,348.43 and 411.39

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Solution

The fourth proportional to 1,565.64, 2,348.43 and 411.39 is: 617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.64 : 2,348.43 = 411.39 : x
  2. Step 2: Convert to fraction form
    1,565.64/2,348.43 = 411.39/x
  3. Step 3: Cross multiply
    1,565.64x = 2,348.43 × 411.39
  4. Step 4: Simplify right side
    1,565.64x = 966,120.62
  5. Step 5: Solve for x
    x = 966,120.62/1,565.64
  6. Step 6: Final answer
    x = 617.08

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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.