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Finding the Fourth Proportional to 767, 1,151.28 and 575.84

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Solution

The fourth proportional to 767, 1,151.28 and 575.84 is: 864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    767 : 1,151.28 = 575.84 : x
  2. Step 2: Convert to fraction form
    767/1,151.28 = 575.84/x
  3. Step 3: Cross multiply
    767x = 1,151.28 × 575.84
  4. Step 4: Simplify right side
    767x = 662,953.08
  5. Step 5: Solve for x
    x = 662,953.08/767
  6. Step 6: Final answer
    x = 864.35

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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.