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Finding the Fourth Proportional to 1,228.04, 1,694.62 and 730.72

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Solution

The fourth proportional to 1,228.04, 1,694.62 and 730.72 is: 1,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.04 : 1,694.62 = 730.72 : x
  2. Step 2: Convert to fraction form
    1,228.04/1,694.62 = 730.72/x
  3. Step 3: Cross multiply
    1,228.04x = 1,694.62 × 730.72
  4. Step 4: Simplify right side
    1,228.04x = 1,238,295.76
  5. Step 5: Solve for x
    x = 1,238,295.76/1,228.04
  6. Step 6: Final answer
    x = 1,008.35

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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.