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Finding the Fourth Proportional to 1,521.75, 2,282.74 and 426.07

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Solution

The fourth proportional to 1,521.75, 2,282.74 and 426.07 is: 639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.75 : 2,282.74 = 426.07 : x
  2. Step 2: Convert to fraction form
    1,521.75/2,282.74 = 426.07/x
  3. Step 3: Cross multiply
    1,521.75x = 2,282.74 × 426.07
  4. Step 4: Simplify right side
    1,521.75x = 972,608.02
  5. Step 5: Solve for x
    x = 972,608.02/1,521.75
  6. Step 6: Final answer
    x = 639.14

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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.