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Finding the Fourth Proportional to 1,098.38, 1,516.70 and 784.62

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Solution

The fourth proportional to 1,098.38, 1,516.70 and 784.62 is: 1,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.38 : 1,516.70 = 784.62 : x
  2. Step 2: Convert to fraction form
    1,098.38/1,516.70 = 784.62/x
  3. Step 3: Cross multiply
    1,098.38x = 1,516.70 × 784.62
  4. Step 4: Simplify right side
    1,098.38x = 1,190,035.12
  5. Step 5: Solve for x
    x = 1,190,035.12/1,098.38
  6. Step 6: Final answer
    x = 1,083.44

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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.