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Finding the Fourth Proportional to 772.34, 1,158.71 and 285.53

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Solution

The fourth proportional to 772.34, 1,158.71 and 285.53 is: 428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.34 : 1,158.71 = 285.53 : x
  2. Step 2: Convert to fraction form
    772.34/1,158.71 = 285.53/x
  3. Step 3: Cross multiply
    772.34x = 1,158.71 × 285.53
  4. Step 4: Simplify right side
    772.34x = 330,839.25
  5. Step 5: Solve for x
    x = 330,839.25/772.34
  6. Step 6: Final answer
    x = 428.36

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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.