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Finding the Fourth Proportional to 1,250.02, 1,724.24 and 930.70

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Solution

The fourth proportional to 1,250.02, 1,724.24 and 930.70 is: 1,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.02 : 1,724.24 = 930.70 : x
  2. Step 2: Convert to fraction form
    1,250.02/1,724.24 = 930.70/x
  3. Step 3: Cross multiply
    1,250.02x = 1,724.24 × 930.70
  4. Step 4: Simplify right side
    1,250.02x = 1,604,750.17
  5. Step 5: Solve for x
    x = 1,604,750.17/1,250.02
  6. Step 6: Final answer
    x = 1,283.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.