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Finding the Fourth Proportional to 1,359.78, 1,876.39 and 770.36

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Solution

The fourth proportional to 1,359.78, 1,876.39 and 770.36 is: 1,063.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.78 : 1,876.39 = 770.36 : x
  2. Step 2: Convert to fraction form
    1,359.78/1,876.39 = 770.36/x
  3. Step 3: Cross multiply
    1,359.78x = 1,876.39 × 770.36
  4. Step 4: Simplify right side
    1,359.78x = 1,445,495.80
  5. Step 5: Solve for x
    x = 1,445,495.80/1,359.78
  6. Step 6: Final answer
    x = 1,063.04

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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.