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Finding the Fourth Proportional to 989.52, 1,365.12 and 695.20

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Solution

The fourth proportional to 989.52, 1,365.12 and 695.20 is: 959.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.52 : 1,365.12 = 695.20 : x
  2. Step 2: Convert to fraction form
    989.52/1,365.12 = 695.20/x
  3. Step 3: Cross multiply
    989.52x = 1,365.12 × 695.20
  4. Step 4: Simplify right side
    989.52x = 949,031.42
  5. Step 5: Solve for x
    x = 949,031.42/989.52
  6. Step 6: Final answer
    x = 959.08

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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.