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Finding the Fourth Proportional to 1,565.70, 2,348.64 and 411.48

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Solution

The fourth proportional to 1,565.70, 2,348.64 and 411.48 is: 617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.70 : 2,348.64 = 411.48 : x
  2. Step 2: Convert to fraction form
    1,565.70/2,348.64 = 411.48/x
  3. Step 3: Cross multiply
    1,565.70x = 2,348.64 × 411.48
  4. Step 4: Simplify right side
    1,565.70x = 966,418.39
  5. Step 5: Solve for x
    x = 966,418.39/1,565.70
  6. Step 6: Final answer
    x = 617.24

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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.