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Finding the Fourth Proportional to 688.66, 1,033.33 and 380.53

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Solution

The fourth proportional to 688.66, 1,033.33 and 380.53 is: 570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.66 : 1,033.33 = 380.53 : x
  2. Step 2: Convert to fraction form
    688.66/1,033.33 = 380.53/x
  3. Step 3: Cross multiply
    688.66x = 1,033.33 × 380.53
  4. Step 4: Simplify right side
    688.66x = 393,209.38
  5. Step 5: Solve for x
    x = 393,209.38/688.66
  6. Step 6: Final answer
    x = 570.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.