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Finding the Fourth Proportional to 1,016.55, 1,524 and 577.32

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Solution

The fourth proportional to 1,016.55, 1,524 and 577.32 is: 865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.55 : 1,524 = 577.32 : x
  2. Step 2: Convert to fraction form
    1,016.55/1,524 = 577.32/x
  3. Step 3: Cross multiply
    1,016.55x = 1,524 × 577.32
  4. Step 4: Simplify right side
    1,016.55x = 879,835.68
  5. Step 5: Solve for x
    x = 879,835.68/1,016.55
  6. Step 6: Final answer
    x = 865.51

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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.