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Finding the Fourth Proportional to 1,279.47, 1,918.13 and 549.57

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Solution

The fourth proportional to 1,279.47, 1,918.13 and 549.57 is: 823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.47 : 1,918.13 = 549.57 : x
  2. Step 2: Convert to fraction form
    1,279.47/1,918.13 = 549.57/x
  3. Step 3: Cross multiply
    1,279.47x = 1,918.13 × 549.57
  4. Step 4: Simplify right side
    1,279.47x = 1,054,143.96
  5. Step 5: Solve for x
    x = 1,054,143.96/1,279.47
  6. Step 6: Final answer
    x = 823.89

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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.