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Finding the Fourth Proportional to 1,139.87, 1,573.08 and 697.75

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Solution

The fourth proportional to 1,139.87, 1,573.08 and 697.75 is: 962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.87 : 1,573.08 = 697.75 : x
  2. Step 2: Convert to fraction form
    1,139.87/1,573.08 = 697.75/x
  3. Step 3: Cross multiply
    1,139.87x = 1,573.08 × 697.75
  4. Step 4: Simplify right side
    1,139.87x = 1,097,616.57
  5. Step 5: Solve for x
    x = 1,097,616.57/1,139.87
  6. Step 6: Final answer
    x = 962.93

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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.