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Finding the Fourth Proportional to 976.92, 1,465.58 and 566.16

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Solution

The fourth proportional to 976.92, 1,465.58 and 566.16 is: 849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.92 : 1,465.58 = 566.16 : x
  2. Step 2: Convert to fraction form
    976.92/1,465.58 = 566.16/x
  3. Step 3: Cross multiply
    976.92x = 1,465.58 × 566.16
  4. Step 4: Simplify right side
    976.92x = 829,752.77
  5. Step 5: Solve for x
    x = 829,752.77/976.92
  6. Step 6: Final answer
    x = 849.36

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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.