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Finding the Fourth Proportional to 1,277.03, 1,759.98 and 878.72

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Solution

The fourth proportional to 1,277.03, 1,759.98 and 878.72 is: 1,211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.03 : 1,759.98 = 878.72 : x
  2. Step 2: Convert to fraction form
    1,277.03/1,759.98 = 878.72/x
  3. Step 3: Cross multiply
    1,277.03x = 1,759.98 × 878.72
  4. Step 4: Simplify right side
    1,277.03x = 1,546,519.18
  5. Step 5: Solve for x
    x = 1,546,519.18/1,277.03
  6. Step 6: Final answer
    x = 1,211.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.