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Finding the Fourth Proportional to 864.32, 1,298.08 and 806.08

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Solution

The fourth proportional to 864.32, 1,298.08 and 806.08 is: 1,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.32 : 1,298.08 = 806.08 : x
  2. Step 2: Convert to fraction form
    864.32/1,298.08 = 806.08/x
  3. Step 3: Cross multiply
    864.32x = 1,298.08 × 806.08
  4. Step 4: Simplify right side
    864.32x = 1,046,356.33
  5. Step 5: Solve for x
    x = 1,046,356.33/864.32
  6. Step 6: Final answer
    x = 1,210.61

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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.