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Finding the Fourth Proportional to 1,023.60, 1,523.82 and 1,017.53

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Solution

The fourth proportional to 1,023.60, 1,523.82 and 1,017.53 is: 1,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.60 : 1,523.82 = 1,017.53 : x
  2. Step 2: Convert to fraction form
    1,023.60/1,523.82 = 1,017.53/x
  3. Step 3: Cross multiply
    1,023.60x = 1,523.82 × 1,017.53
  4. Step 4: Simplify right side
    1,023.60x = 1,550,524.95
  5. Step 5: Solve for x
    x = 1,550,524.95/1,023.60
  6. Step 6: Final answer
    x = 1,514.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.