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Finding the Fourth Proportional to 853.70, 1,277.30 and 565.70

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Solution

The fourth proportional to 853.70, 1,277.30 and 565.70 is: 846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.70 : 1,277.30 = 565.70 : x
  2. Step 2: Convert to fraction form
    853.70/1,277.30 = 565.70/x
  3. Step 3: Cross multiply
    853.70x = 1,277.30 × 565.70
  4. Step 4: Simplify right side
    853.70x = 722,568.61
  5. Step 5: Solve for x
    x = 722,568.61/853.70
  6. Step 6: Final answer
    x = 846.40

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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.