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Finding the Fourth Proportional to 1,236.59, 1,706.43 and 677.02

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Solution

The fourth proportional to 1,236.59, 1,706.43 and 677.02 is: 934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.59 : 1,706.43 = 677.02 : x
  2. Step 2: Convert to fraction form
    1,236.59/1,706.43 = 677.02/x
  3. Step 3: Cross multiply
    1,236.59x = 1,706.43 × 677.02
  4. Step 4: Simplify right side
    1,236.59x = 1,155,287.24
  5. Step 5: Solve for x
    x = 1,155,287.24/1,236.59
  6. Step 6: Final answer
    x = 934.25

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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.