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Finding the Fourth Proportional to 1,098.09, 1,516.05 and 767.07

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Solution

The fourth proportional to 1,098.09, 1,516.05 and 767.07 is: 1,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.09 : 1,516.05 = 767.07 : x
  2. Step 2: Convert to fraction form
    1,098.09/1,516.05 = 767.07/x
  3. Step 3: Cross multiply
    1,098.09x = 1,516.05 × 767.07
  4. Step 4: Simplify right side
    1,098.09x = 1,162,916.47
  5. Step 5: Solve for x
    x = 1,162,916.47/1,098.09
  6. Step 6: Final answer
    x = 1,059.04

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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.