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Finding the Fourth Proportional to 1,188.66, 1,778.54 and 824.16

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Solution

The fourth proportional to 1,188.66, 1,778.54 and 824.16 is: 1,233.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.66 : 1,778.54 = 824.16 : x
  2. Step 2: Convert to fraction form
    1,188.66/1,778.54 = 824.16/x
  3. Step 3: Cross multiply
    1,188.66x = 1,778.54 × 824.16
  4. Step 4: Simplify right side
    1,188.66x = 1,465,797.41
  5. Step 5: Solve for x
    x = 1,465,797.41/1,188.66
  6. Step 6: Final answer
    x = 1,233.15

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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.