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Finding the Fourth Proportional to 772.40, 1,158.55 and 217.14

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Solution

The fourth proportional to 772.40, 1,158.55 and 217.14 is: 325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.40 : 1,158.55 = 217.14 : x
  2. Step 2: Convert to fraction form
    772.40/1,158.55 = 217.14/x
  3. Step 3: Cross multiply
    772.40x = 1,158.55 × 217.14
  4. Step 4: Simplify right side
    772.40x = 251,567.55
  5. Step 5: Solve for x
    x = 251,567.55/772.40
  6. Step 6: Final answer
    x = 325.70

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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.