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Finding the Fourth Proportional to 878.01, 1,315.91 and 768.06

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Solution

The fourth proportional to 878.01, 1,315.91 and 768.06 is: 1,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.01 : 1,315.91 = 768.06 : x
  2. Step 2: Convert to fraction form
    878.01/1,315.91 = 768.06/x
  3. Step 3: Cross multiply
    878.01x = 1,315.91 × 768.06
  4. Step 4: Simplify right side
    878.01x = 1,010,703.46
  5. Step 5: Solve for x
    x = 1,010,703.46/878.01
  6. Step 6: Final answer
    x = 1,151.13

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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.