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Finding the Fourth Proportional to 1,251.93, 1,878.03 and 430.10

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Solution

The fourth proportional to 1,251.93, 1,878.03 and 430.10 is: 645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.93 : 1,878.03 = 430.10 : x
  2. Step 2: Convert to fraction form
    1,251.93/1,878.03 = 430.10/x
  3. Step 3: Cross multiply
    1,251.93x = 1,878.03 × 430.10
  4. Step 4: Simplify right side
    1,251.93x = 807,733.86
  5. Step 5: Solve for x
    x = 807,733.86/1,251.93
  6. Step 6: Final answer
    x = 645.19

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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.