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Finding the Fourth Proportional to 1,016.10, 1,524.38 and 357.88

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Solution

The fourth proportional to 1,016.10, 1,524.38 and 357.88 is: 536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.10 : 1,524.38 = 357.88 : x
  2. Step 2: Convert to fraction form
    1,016.10/1,524.38 = 357.88/x
  3. Step 3: Cross multiply
    1,016.10x = 1,524.38 × 357.88
  4. Step 4: Simplify right side
    1,016.10x = 545,545.11
  5. Step 5: Solve for x
    x = 545,545.11/1,016.10
  6. Step 6: Final answer
    x = 536.90

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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.