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Finding the Fourth Proportional to 1,310.06, 1,807.71 and 778.80

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Solution

The fourth proportional to 1,310.06, 1,807.71 and 778.80 is: 1,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.06 : 1,807.71 = 778.80 : x
  2. Step 2: Convert to fraction form
    1,310.06/1,807.71 = 778.80/x
  3. Step 3: Cross multiply
    1,310.06x = 1,807.71 × 778.80
  4. Step 4: Simplify right side
    1,310.06x = 1,407,844.55
  5. Step 5: Solve for x
    x = 1,407,844.55/1,310.06
  6. Step 6: Final answer
    x = 1,074.65

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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.