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Finding the Fourth Proportional to 976.93, 1,465.19 and 581.78

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Solution

The fourth proportional to 976.93, 1,465.19 and 581.78 is: 872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.93 : 1,465.19 = 581.78 : x
  2. Step 2: Convert to fraction form
    976.93/1,465.19 = 581.78/x
  3. Step 3: Cross multiply
    976.93x = 1,465.19 × 581.78
  4. Step 4: Simplify right side
    976.93x = 852,421.17
  5. Step 5: Solve for x
    x = 852,421.17/976.93
  6. Step 6: Final answer
    x = 872.55

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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.