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Finding the Fourth Proportional to 969.64, 1,338.10 and 527.54

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Solution

The fourth proportional to 969.64, 1,338.10 and 527.54 is: 728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.64 : 1,338.10 = 527.54 : x
  2. Step 2: Convert to fraction form
    969.64/1,338.10 = 527.54/x
  3. Step 3: Cross multiply
    969.64x = 1,338.10 × 527.54
  4. Step 4: Simplify right side
    969.64x = 705,897.26
  5. Step 5: Solve for x
    x = 705,897.26/969.64
  6. Step 6: Final answer
    x = 728.00

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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.