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Finding the Fourth Proportional to 969.98, 1,338.56 and 527.88

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Solution

The fourth proportional to 969.98, 1,338.56 and 527.88 is: 728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.98 : 1,338.56 = 527.88 : x
  2. Step 2: Convert to fraction form
    969.98/1,338.56 = 527.88/x
  3. Step 3: Cross multiply
    969.98x = 1,338.56 × 527.88
  4. Step 4: Simplify right side
    969.98x = 706,592.12
  5. Step 5: Solve for x
    x = 706,592.12/969.98
  6. Step 6: Final answer
    x = 728.46

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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.