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Finding the Fourth Proportional to 886.50, 1,328.58 and 691.74

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Solution

The fourth proportional to 886.50, 1,328.58 and 691.74 is: 1,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.50 : 1,328.58 = 691.74 : x
  2. Step 2: Convert to fraction form
    886.50/1,328.58 = 691.74/x
  3. Step 3: Cross multiply
    886.50x = 1,328.58 × 691.74
  4. Step 4: Simplify right side
    886.50x = 919,031.93
  5. Step 5: Solve for x
    x = 919,031.93/886.50
  6. Step 6: Final answer
    x = 1,036.70

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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.