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Finding the Fourth Proportional to 1,016.87, 1,524.65 and 469.17

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Solution

The fourth proportional to 1,016.87, 1,524.65 and 469.17 is: 703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.87 : 1,524.65 = 469.17 : x
  2. Step 2: Convert to fraction form
    1,016.87/1,524.65 = 469.17/x
  3. Step 3: Cross multiply
    1,016.87x = 1,524.65 × 469.17
  4. Step 4: Simplify right side
    1,016.87x = 715,317.69
  5. Step 5: Solve for x
    x = 715,317.69/1,016.87
  6. Step 6: Final answer
    x = 703.45

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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.