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Finding the Fourth Proportional to 1,521.76, 2,282.64 and 426.13

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Solution

The fourth proportional to 1,521.76, 2,282.64 and 426.13 is: 639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.76 : 2,282.64 = 426.13 : x
  2. Step 2: Convert to fraction form
    1,521.76/2,282.64 = 426.13/x
  3. Step 3: Cross multiply
    1,521.76x = 2,282.64 × 426.13
  4. Step 4: Simplify right side
    1,521.76x = 972,699.25
  5. Step 5: Solve for x
    x = 972,699.25/1,521.76
  6. Step 6: Final answer
    x = 639.20

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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.