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Finding the Fourth Proportional to 1,139.78, 1,700.72 and 1,070.12

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Solution

The fourth proportional to 1,139.78, 1,700.72 and 1,070.12 is: 1,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.78 : 1,700.72 = 1,070.12 : x
  2. Step 2: Convert to fraction form
    1,139.78/1,700.72 = 1,070.12/x
  3. Step 3: Cross multiply
    1,139.78x = 1,700.72 × 1,070.12
  4. Step 4: Simplify right side
    1,139.78x = 1,819,974.49
  5. Step 5: Solve for x
    x = 1,819,974.49/1,139.78
  6. Step 6: Final answer
    x = 1,596.78

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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.