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Finding the Fourth Proportional to 976.47, 1,465.32 and 565.80

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Solution

The fourth proportional to 976.47, 1,465.32 and 565.80 is: 849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.47 : 1,465.32 = 565.80 : x
  2. Step 2: Convert to fraction form
    976.47/1,465.32 = 565.80/x
  3. Step 3: Cross multiply
    976.47x = 1,465.32 × 565.80
  4. Step 4: Simplify right side
    976.47x = 829,078.06
  5. Step 5: Solve for x
    x = 829,078.06/976.47
  6. Step 6: Final answer
    x = 849.06

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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.