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Finding the Fourth Proportional to 1,014.59, 1,522.15 and 284.18

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Solution

The fourth proportional to 1,014.59, 1,522.15 and 284.18 is: 426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.59 : 1,522.15 = 284.18 : x
  2. Step 2: Convert to fraction form
    1,014.59/1,522.15 = 284.18/x
  3. Step 3: Cross multiply
    1,014.59x = 1,522.15 × 284.18
  4. Step 4: Simplify right side
    1,014.59x = 432,556.27
  5. Step 5: Solve for x
    x = 432,556.27/1,014.59
  6. Step 6: Final answer
    x = 426.33

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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.