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Finding the Fourth Proportional to 1,425.25, 2,137.62 and 500.69

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Solution

The fourth proportional to 1,425.25, 2,137.62 and 500.69 is: 750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.25 : 2,137.62 = 500.69 : x
  2. Step 2: Convert to fraction form
    1,425.25/2,137.62 = 500.69/x
  3. Step 3: Cross multiply
    1,425.25x = 2,137.62 × 500.69
  4. Step 4: Simplify right side
    1,425.25x = 1,070,275.93
  5. Step 5: Solve for x
    x = 1,070,275.93/1,425.25
  6. Step 6: Final answer
    x = 750.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.