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Finding the Fourth Proportional to 670.92, 1,007.64 and 616.76

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Solution

The fourth proportional to 670.92, 1,007.64 and 616.76 is: 926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.92 : 1,007.64 = 616.76 : x
  2. Step 2: Convert to fraction form
    670.92/1,007.64 = 616.76/x
  3. Step 3: Cross multiply
    670.92x = 1,007.64 × 616.76
  4. Step 4: Simplify right side
    670.92x = 621,472.05
  5. Step 5: Solve for x
    x = 621,472.05/670.92
  6. Step 6: Final answer
    x = 926.30

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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.