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Finding the Fourth Proportional to 886.70, 1,330.07 and 400.16

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Solution

The fourth proportional to 886.70, 1,330.07 and 400.16 is: 600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.70 : 1,330.07 = 400.16 : x
  2. Step 2: Convert to fraction form
    886.70/1,330.07 = 400.16/x
  3. Step 3: Cross multiply
    886.70x = 1,330.07 × 400.16
  4. Step 4: Simplify right side
    886.70x = 532,242.14
  5. Step 5: Solve for x
    x = 532,242.14/886.70
  6. Step 6: Final answer
    x = 600.25

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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.