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Finding the Fourth Proportional to 1,279.07, 1,918.06 and 498.66

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Solution

The fourth proportional to 1,279.07, 1,918.06 and 498.66 is: 747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.07 : 1,918.06 = 498.66 : x
  2. Step 2: Convert to fraction form
    1,279.07/1,918.06 = 498.66/x
  3. Step 3: Cross multiply
    1,279.07x = 1,918.06 × 498.66
  4. Step 4: Simplify right side
    1,279.07x = 956,451.36
  5. Step 5: Solve for x
    x = 956,451.36/1,279.07
  6. Step 6: Final answer
    x = 747.77

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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.