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Finding the Fourth Proportional to 980.16, 1,352.32 and 566.08

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Solution

The fourth proportional to 980.16, 1,352.32 and 566.08 is: 781.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.16 : 1,352.32 = 566.08 : x
  2. Step 2: Convert to fraction form
    980.16/1,352.32 = 566.08/x
  3. Step 3: Cross multiply
    980.16x = 1,352.32 × 566.08
  4. Step 4: Simplify right side
    980.16x = 765,521.31
  5. Step 5: Solve for x
    x = 765,521.31/980.16
  6. Step 6: Final answer
    x = 781.02

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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.