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Finding the Fourth Proportional to 1,210.38, 1,816.78 and 864.12

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Solution

The fourth proportional to 1,210.38, 1,816.78 and 864.12 is: 1,297.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.38 : 1,816.78 = 864.12 : x
  2. Step 2: Convert to fraction form
    1,210.38/1,816.78 = 864.12/x
  3. Step 3: Cross multiply
    1,210.38x = 1,816.78 × 864.12
  4. Step 4: Simplify right side
    1,210.38x = 1,569,915.93
  5. Step 5: Solve for x
    x = 1,569,915.93/1,210.38
  6. Step 6: Final answer
    x = 1,297.04

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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.