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Finding the Fourth Proportional to 1,139.80, 1,709.70 and 645.70

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Solution

The fourth proportional to 1,139.80, 1,709.70 and 645.70 is: 968.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.80 : 1,709.70 = 645.70 : x
  2. Step 2: Convert to fraction form
    1,139.80/1,709.70 = 645.70/x
  3. Step 3: Cross multiply
    1,139.80x = 1,709.70 × 645.70
  4. Step 4: Simplify right side
    1,139.80x = 1,103,953.29
  5. Step 5: Solve for x
    x = 1,103,953.29/1,139.80
  6. Step 6: Final answer
    x = 968.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.