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Finding the Fourth Proportional to 1,098.67, 1,516.16 and 678.92

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Solution

The fourth proportional to 1,098.67, 1,516.16 and 678.92 is: 936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.67 : 1,516.16 = 678.92 : x
  2. Step 2: Convert to fraction form
    1,098.67/1,516.16 = 678.92/x
  3. Step 3: Cross multiply
    1,098.67x = 1,516.16 × 678.92
  4. Step 4: Simplify right side
    1,098.67x = 1,029,347.95
  5. Step 5: Solve for x
    x = 1,029,347.95/1,098.67
  6. Step 6: Final answer
    x = 936.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.