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Finding the Fourth Proportional to 1,565.52, 2,348.60 and 591.63

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Solution

The fourth proportional to 1,565.52, 2,348.60 and 591.63 is: 887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.52 : 2,348.60 = 591.63 : x
  2. Step 2: Convert to fraction form
    1,565.52/2,348.60 = 591.63/x
  3. Step 3: Cross multiply
    1,565.52x = 2,348.60 × 591.63
  4. Step 4: Simplify right side
    1,565.52x = 1,389,499.26
  5. Step 5: Solve for x
    x = 1,389,499.26/1,565.52
  6. Step 6: Final answer
    x = 887.56

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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.