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Finding the Fourth Proportional to 976.86, 1,465.29 and 463.74

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Solution

The fourth proportional to 976.86, 1,465.29 and 463.74 is: 695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.86 : 1,465.29 = 463.74 : x
  2. Step 2: Convert to fraction form
    976.86/1,465.29 = 463.74/x
  3. Step 3: Cross multiply
    976.86x = 1,465.29 × 463.74
  4. Step 4: Simplify right side
    976.86x = 679,513.58
  5. Step 5: Solve for x
    x = 679,513.58/976.86
  6. Step 6: Final answer
    x = 695.61

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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.