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Finding the Fourth Proportional to 980.60, 1,468.98 and 569.48

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Solution

The fourth proportional to 980.60, 1,468.98 and 569.48 is: 853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.60 : 1,468.98 = 569.48 : x
  2. Step 2: Convert to fraction form
    980.60/1,468.98 = 569.48/x
  3. Step 3: Cross multiply
    980.60x = 1,468.98 × 569.48
  4. Step 4: Simplify right side
    980.60x = 836,554.73
  5. Step 5: Solve for x
    x = 836,554.73/980.60
  6. Step 6: Final answer
    x = 853.10

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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.