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Finding the Fourth Proportional to 772.70, 1,152.14 and 763.11

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Solution

The fourth proportional to 772.70, 1,152.14 and 763.11 is: 1,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.70 : 1,152.14 = 763.11 : x
  2. Step 2: Convert to fraction form
    772.70/1,152.14 = 763.11/x
  3. Step 3: Cross multiply
    772.70x = 1,152.14 × 763.11
  4. Step 4: Simplify right side
    772.70x = 879,205.74
  5. Step 5: Solve for x
    x = 879,205.74/772.70
  6. Step 6: Final answer
    x = 1,137.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.