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Finding the Fourth Proportional to 932.84, 1,399.49 and 770.23

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Solution

The fourth proportional to 932.84, 1,399.49 and 770.23 is: 1,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.84 : 1,399.49 = 770.23 : x
  2. Step 2: Convert to fraction form
    932.84/1,399.49 = 770.23/x
  3. Step 3: Cross multiply
    932.84x = 1,399.49 × 770.23
  4. Step 4: Simplify right side
    932.84x = 1,077,929.18
  5. Step 5: Solve for x
    x = 1,077,929.18/932.84
  6. Step 6: Final answer
    x = 1,155.53

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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.