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Finding the Fourth Proportional to 703.76, 969.17 and 616.28

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Solution

The fourth proportional to 703.76, 969.17 and 616.28 is: 848.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.76 : 969.17 = 616.28 : x
  2. Step 2: Convert to fraction form
    703.76/969.17 = 616.28/x
  3. Step 3: Cross multiply
    703.76x = 969.17 × 616.28
  4. Step 4: Simplify right side
    703.76x = 597,272.16
  5. Step 5: Solve for x
    x = 597,272.16/703.76
  6. Step 6: Final answer
    x = 848.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.