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Finding the Fourth Proportional to 969.66, 1,337.99 and 576.68

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Solution

The fourth proportional to 969.66, 1,337.99 and 576.68 is: 795.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.66 : 1,337.99 = 576.68 : x
  2. Step 2: Convert to fraction form
    969.66/1,337.99 = 576.68/x
  3. Step 3: Cross multiply
    969.66x = 1,337.99 × 576.68
  4. Step 4: Simplify right side
    969.66x = 771,582.50
  5. Step 5: Solve for x
    x = 771,582.50/969.66
  6. Step 6: Final answer
    x = 795.72

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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.