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Finding the Fourth Proportional to 1,253.80, 1,730.18 and 694.28

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Solution

The fourth proportional to 1,253.80, 1,730.18 and 694.28 is: 958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.80 : 1,730.18 = 694.28 : x
  2. Step 2: Convert to fraction form
    1,253.80/1,730.18 = 694.28/x
  3. Step 3: Cross multiply
    1,253.80x = 1,730.18 × 694.28
  4. Step 4: Simplify right side
    1,253.80x = 1,201,225.90
  5. Step 5: Solve for x
    x = 1,201,225.90/1,253.80
  6. Step 6: Final answer
    x = 958.07

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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.