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Finding the Fourth Proportional to 969.10, 1,337.58 and 576.36

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Solution

The fourth proportional to 969.10, 1,337.58 and 576.36 is: 795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.10 : 1,337.58 = 576.36 : x
  2. Step 2: Convert to fraction form
    969.10/1,337.58 = 576.36/x
  3. Step 3: Cross multiply
    969.10x = 1,337.58 × 576.36
  4. Step 4: Simplify right side
    969.10x = 770,927.61
  5. Step 5: Solve for x
    x = 770,927.61/969.10
  6. Step 6: Final answer
    x = 795.51

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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.