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Finding the Fourth Proportional to 1,565.92, 2,348.61 and 591.76

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Solution

The fourth proportional to 1,565.92, 2,348.61 and 591.76 is: 887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.92 : 2,348.61 = 591.76 : x
  2. Step 2: Convert to fraction form
    1,565.92/2,348.61 = 591.76/x
  3. Step 3: Cross multiply
    1,565.92x = 2,348.61 × 591.76
  4. Step 4: Simplify right side
    1,565.92x = 1,389,813.45
  5. Step 5: Solve for x
    x = 1,389,813.45/1,565.92
  6. Step 6: Final answer
    x = 887.54

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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.