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Finding the Fourth Proportional to 1,178.69, 1,626.01 and 800.24

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Solution

The fourth proportional to 1,178.69, 1,626.01 and 800.24 is: 1,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.69 : 1,626.01 = 800.24 : x
  2. Step 2: Convert to fraction form
    1,178.69/1,626.01 = 800.24/x
  3. Step 3: Cross multiply
    1,178.69x = 1,626.01 × 800.24
  4. Step 4: Simplify right side
    1,178.69x = 1,301,188.11
  5. Step 5: Solve for x
    x = 1,301,188.11/1,178.69
  6. Step 6: Final answer
    x = 1,103.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.