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Finding the Fourth Proportional to 976.28, 1,345.04 and 930.20

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Solution

The fourth proportional to 976.28, 1,345.04 and 930.20 is: 1,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.28 : 1,345.04 = 930.20 : x
  2. Step 2: Convert to fraction form
    976.28/1,345.04 = 930.20/x
  3. Step 3: Cross multiply
    976.28x = 1,345.04 × 930.20
  4. Step 4: Simplify right side
    976.28x = 1,251,156.21
  5. Step 5: Solve for x
    x = 1,251,156.21/976.28
  6. Step 6: Final answer
    x = 1,281.55

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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.