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Finding the Fourth Proportional to 1,017.52, 1,524.28 and 529.92

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Solution

The fourth proportional to 1,017.52, 1,524.28 and 529.92 is: 793.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.52 : 1,524.28 = 529.92 : x
  2. Step 2: Convert to fraction form
    1,017.52/1,524.28 = 529.92/x
  3. Step 3: Cross multiply
    1,017.52x = 1,524.28 × 529.92
  4. Step 4: Simplify right side
    1,017.52x = 807,746.46
  5. Step 5: Solve for x
    x = 807,746.46/1,017.52
  6. Step 6: Final answer
    x = 793.84

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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.