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Finding the Fourth Proportional to 1,535.60, 2,302.31 and 610.88

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Solution

The fourth proportional to 1,535.60, 2,302.31 and 610.88 is: 915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.60 : 2,302.31 = 610.88 : x
  2. Step 2: Convert to fraction form
    1,535.60/2,302.31 = 610.88/x
  3. Step 3: Cross multiply
    1,535.60x = 2,302.31 × 610.88
  4. Step 4: Simplify right side
    1,535.60x = 1,406,425.15
  5. Step 5: Solve for x
    x = 1,406,425.15/1,535.60
  6. Step 6: Final answer
    x = 915.88

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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.