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Finding the Fourth Proportional to 867.84, 1,306.91 and 782.16

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Solution

The fourth proportional to 867.84, 1,306.91 and 782.16 is: 1,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.84 : 1,306.91 = 782.16 : x
  2. Step 2: Convert to fraction form
    867.84/1,306.91 = 782.16/x
  3. Step 3: Cross multiply
    867.84x = 1,306.91 × 782.16
  4. Step 4: Simplify right side
    867.84x = 1,022,208.81
  5. Step 5: Solve for x
    x = 1,022,208.81/867.84
  6. Step 6: Final answer
    x = 1,177.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.