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Finding the Fourth Proportional to 1,139.84, 1,709.65 and 832.30

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Solution

The fourth proportional to 1,139.84, 1,709.65 and 832.30 is: 1,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.84 : 1,709.65 = 832.30 : x
  2. Step 2: Convert to fraction form
    1,139.84/1,709.65 = 832.30/x
  3. Step 3: Cross multiply
    1,139.84x = 1,709.65 × 832.30
  4. Step 4: Simplify right side
    1,139.84x = 1,422,941.70
  5. Step 5: Solve for x
    x = 1,422,941.70/1,139.84
  6. Step 6: Final answer
    x = 1,248.37

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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.