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Finding the Fourth Proportional to 969.04, 1,337.52 and 654.40

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Solution

The fourth proportional to 969.04, 1,337.52 and 654.40 is: 903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.04 : 1,337.52 = 654.40 : x
  2. Step 2: Convert to fraction form
    969.04/1,337.52 = 654.40/x
  3. Step 3: Cross multiply
    969.04x = 1,337.52 × 654.40
  4. Step 4: Simplify right side
    969.04x = 875,273.09
  5. Step 5: Solve for x
    x = 875,273.09/969.04
  6. Step 6: Final answer
    x = 903.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.