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Finding the Fourth Proportional to 1,014.57, 1,521.77 and 284.15

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Solution

The fourth proportional to 1,014.57, 1,521.77 and 284.15 is: 426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.57 : 1,521.77 = 284.15 : x
  2. Step 2: Convert to fraction form
    1,014.57/1,521.77 = 284.15/x
  3. Step 3: Cross multiply
    1,014.57x = 1,521.77 × 284.15
  4. Step 4: Simplify right side
    1,014.57x = 432,401.92
  5. Step 5: Solve for x
    x = 432,401.92/1,014.57
  6. Step 6: Final answer
    x = 426.19

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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.