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Finding the Fourth Proportional to 886.18, 1,328.10 and 474.70

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Solution

The fourth proportional to 886.18, 1,328.10 and 474.70 is: 711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.18 : 1,328.10 = 474.70 : x
  2. Step 2: Convert to fraction form
    886.18/1,328.10 = 474.70/x
  3. Step 3: Cross multiply
    886.18x = 1,328.10 × 474.70
  4. Step 4: Simplify right side
    886.18x = 630,449.07
  5. Step 5: Solve for x
    x = 630,449.07/886.18
  6. Step 6: Final answer
    x = 711.42

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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.