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Finding the Fourth Proportional to 1,279.74, 1,918.98 and 457.89

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Solution

The fourth proportional to 1,279.74, 1,918.98 and 457.89 is: 686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.74 : 1,918.98 = 457.89 : x
  2. Step 2: Convert to fraction form
    1,279.74/1,918.98 = 457.89/x
  3. Step 3: Cross multiply
    1,279.74x = 1,918.98 × 457.89
  4. Step 4: Simplify right side
    1,279.74x = 878,681.75
  5. Step 5: Solve for x
    x = 878,681.75/1,279.74
  6. Step 6: Final answer
    x = 686.61

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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.