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Finding the Fourth Proportional to 976.28, 1,464.86 and 565.76

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Solution

The fourth proportional to 976.28, 1,464.86 and 565.76 is: 848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.28 : 1,464.86 = 565.76 : x
  2. Step 2: Convert to fraction form
    976.28/1,464.86 = 565.76/x
  3. Step 3: Cross multiply
    976.28x = 1,464.86 × 565.76
  4. Step 4: Simplify right side
    976.28x = 828,749.04
  5. Step 5: Solve for x
    x = 828,749.04/976.28
  6. Step 6: Final answer
    x = 848.89

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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.