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Finding the Fourth Proportional to 1,097.34, 1,645.20 and 980.70

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Solution

The fourth proportional to 1,097.34, 1,645.20 and 980.70 is: 1,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.34 : 1,645.20 = 980.70 : x
  2. Step 2: Convert to fraction form
    1,097.34/1,645.20 = 980.70/x
  3. Step 3: Cross multiply
    1,097.34x = 1,645.20 × 980.70
  4. Step 4: Simplify right side
    1,097.34x = 1,613,447.64
  5. Step 5: Solve for x
    x = 1,613,447.64/1,097.34
  6. Step 6: Final answer
    x = 1,470.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.