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Finding the Fourth Proportional to 886.18, 1,329.28 and 713.84

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Solution

The fourth proportional to 886.18, 1,329.28 and 713.84 is: 1,070.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.18 : 1,329.28 = 713.84 : x
  2. Step 2: Convert to fraction form
    886.18/1,329.28 = 713.84/x
  3. Step 3: Cross multiply
    886.18x = 1,329.28 × 713.84
  4. Step 4: Simplify right side
    886.18x = 948,893.24
  5. Step 5: Solve for x
    x = 948,893.24/886.18
  6. Step 6: Final answer
    x = 1,070.77

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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.