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Finding the Fourth Proportional to 1,062.48, 1,597.68 and 1,023.60

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Solution

The fourth proportional to 1,062.48, 1,597.68 and 1,023.60 is: 1,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.48 : 1,597.68 = 1,023.60 : x
  2. Step 2: Convert to fraction form
    1,062.48/1,597.68 = 1,023.60/x
  3. Step 3: Cross multiply
    1,062.48x = 1,597.68 × 1,023.60
  4. Step 4: Simplify right side
    1,062.48x = 1,635,385.25
  5. Step 5: Solve for x
    x = 1,635,385.25/1,062.48
  6. Step 6: Final answer
    x = 1,539.22

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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.