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Finding the Fourth Proportional to 887.16, 1,331.70 and 643.80

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Solution

The fourth proportional to 887.16, 1,331.70 and 643.80 is: 966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.16 : 1,331.70 = 643.80 : x
  2. Step 2: Convert to fraction form
    887.16/1,331.70 = 643.80/x
  3. Step 3: Cross multiply
    887.16x = 1,331.70 × 643.80
  4. Step 4: Simplify right side
    887.16x = 857,348.46
  5. Step 5: Solve for x
    x = 857,348.46/887.16
  6. Step 6: Final answer
    x = 966.40

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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.