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Finding the Fourth Proportional to 772.19, 1,158.84 and 310.10

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Solution

The fourth proportional to 772.19, 1,158.84 and 310.10 is: 465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.19 : 1,158.84 = 310.10 : x
  2. Step 2: Convert to fraction form
    772.19/1,158.84 = 310.10/x
  3. Step 3: Cross multiply
    772.19x = 1,158.84 × 310.10
  4. Step 4: Simplify right side
    772.19x = 359,356.28
  5. Step 5: Solve for x
    x = 359,356.28/772.19
  6. Step 6: Final answer
    x = 465.37

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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.