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Finding the Fourth Proportional to 1,014.76, 1,521.97 and 284.16

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Solution

The fourth proportional to 1,014.76, 1,521.97 and 284.16 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.76 : 1,521.97 = 284.16 : x
  2. Step 2: Convert to fraction form
    1,014.76/1,521.97 = 284.16/x
  3. Step 3: Cross multiply
    1,014.76x = 1,521.97 × 284.16
  4. Step 4: Simplify right side
    1,014.76x = 432,487.99
  5. Step 5: Solve for x
    x = 432,487.99/1,014.76
  6. Step 6: Final answer
    x = 426.20

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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.