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Finding the Fourth Proportional to 772.26, 1,158.45 and 310.02

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Solution

The fourth proportional to 772.26, 1,158.45 and 310.02 is: 465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.26 : 1,158.45 = 310.02 : x
  2. Step 2: Convert to fraction form
    772.26/1,158.45 = 310.02/x
  3. Step 3: Cross multiply
    772.26x = 1,158.45 × 310.02
  4. Step 4: Simplify right side
    772.26x = 359,142.67
  5. Step 5: Solve for x
    x = 359,142.67/772.26
  6. Step 6: Final answer
    x = 465.05

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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.