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Finding the Fourth Proportional to 1,251.82, 1,878.12 and 602.92

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Solution

The fourth proportional to 1,251.82, 1,878.12 and 602.92 is: 904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.82 : 1,878.12 = 602.92 : x
  2. Step 2: Convert to fraction form
    1,251.82/1,878.12 = 602.92/x
  3. Step 3: Cross multiply
    1,251.82x = 1,878.12 × 602.92
  4. Step 4: Simplify right side
    1,251.82x = 1,132,356.11
  5. Step 5: Solve for x
    x = 1,132,356.11/1,251.82
  6. Step 6: Final answer
    x = 904.57

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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.