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Finding the Fourth Proportional to 1,014.70, 1,521.74 and 284.10

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Solution

The fourth proportional to 1,014.70, 1,521.74 and 284.10 is: 426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.70 : 1,521.74 = 284.10 : x
  2. Step 2: Convert to fraction form
    1,014.70/1,521.74 = 284.10/x
  3. Step 3: Cross multiply
    1,014.70x = 1,521.74 × 284.10
  4. Step 4: Simplify right side
    1,014.70x = 432,326.33
  5. Step 5: Solve for x
    x = 432,326.33/1,014.70
  6. Step 6: Final answer
    x = 426.06

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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.