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Finding the Fourth Proportional to 1,097.70, 1,640.10 and 1,059.42

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Solution

The fourth proportional to 1,097.70, 1,640.10 and 1,059.42 is: 1,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.70 : 1,640.10 = 1,059.42 : x
  2. Step 2: Convert to fraction form
    1,097.70/1,640.10 = 1,059.42/x
  3. Step 3: Cross multiply
    1,097.70x = 1,640.10 × 1,059.42
  4. Step 4: Simplify right side
    1,097.70x = 1,737,554.74
  5. Step 5: Solve for x
    x = 1,737,554.74/1,097.70
  6. Step 6: Final answer
    x = 1,582.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.