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Finding the Fourth Proportional to 858.26, 1,278.64 and 816.96

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Solution

The fourth proportional to 858.26, 1,278.64 and 816.96 is: 1,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.26 : 1,278.64 = 816.96 : x
  2. Step 2: Convert to fraction form
    858.26/1,278.64 = 816.96/x
  3. Step 3: Cross multiply
    858.26x = 1,278.64 × 816.96
  4. Step 4: Simplify right side
    858.26x = 1,044,597.73
  5. Step 5: Solve for x
    x = 1,044,597.73/858.26
  6. Step 6: Final answer
    x = 1,217.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.