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Finding the Fourth Proportional to 888.36, 1,332.54 and 784.68

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Solution

The fourth proportional to 888.36, 1,332.54 and 784.68 is: 1,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    888.36 : 1,332.54 = 784.68 : x
  2. Step 2: Convert to fraction form
    888.36/1,332.54 = 784.68/x
  3. Step 3: Cross multiply
    888.36x = 1,332.54 × 784.68
  4. Step 4: Simplify right side
    888.36x = 1,045,617.49
  5. Step 5: Solve for x
    x = 1,045,617.49/888.36
  6. Step 6: Final answer
    x = 1,177.02

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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.