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Finding the Fourth Proportional to 1,279.18, 1,919.04 and 457.53

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Solution

The fourth proportional to 1,279.18, 1,919.04 and 457.53 is: 686.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.18 : 1,919.04 = 457.53 : x
  2. Step 2: Convert to fraction form
    1,279.18/1,919.04 = 457.53/x
  3. Step 3: Cross multiply
    1,279.18x = 1,919.04 × 457.53
  4. Step 4: Simplify right side
    1,279.18x = 878,018.37
  5. Step 5: Solve for x
    x = 878,018.37/1,279.18
  6. Step 6: Final answer
    x = 686.39

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Why These Related Problems?

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