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Finding the Fourth Proportional to 1,017.42, 1,524.90 and 728.25

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Solution

The fourth proportional to 1,017.42, 1,524.90 and 728.25 is: 1,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.42 : 1,524.90 = 728.25 : x
  2. Step 2: Convert to fraction form
    1,017.42/1,524.90 = 728.25/x
  3. Step 3: Cross multiply
    1,017.42x = 1,524.90 × 728.25
  4. Step 4: Simplify right side
    1,017.42x = 1,110,508.43
  5. Step 5: Solve for x
    x = 1,110,508.43/1,017.42
  6. Step 6: Final answer
    x = 1,091.49

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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.