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Finding the Fourth Proportional to 1,279.18, 1,918.57 and 457.32

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Solution

The fourth proportional to 1,279.18, 1,918.57 and 457.32 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.18 : 1,918.57 = 457.32 : x
  2. Step 2: Convert to fraction form
    1,279.18/1,918.57 = 457.32/x
  3. Step 3: Cross multiply
    1,279.18x = 1,918.57 × 457.32
  4. Step 4: Simplify right side
    1,279.18x = 877,400.43
  5. Step 5: Solve for x
    x = 877,400.43/1,279.18
  6. Step 6: Final answer
    x = 685.91

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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.