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Finding the Fourth Proportional to 1,203.65, 1,660.77 and 706.11

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Solution

The fourth proportional to 1,203.65, 1,660.77 and 706.11 is: 974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.65 : 1,660.77 = 706.11 : x
  2. Step 2: Convert to fraction form
    1,203.65/1,660.77 = 706.11/x
  3. Step 3: Cross multiply
    1,203.65x = 1,660.77 × 706.11
  4. Step 4: Simplify right side
    1,203.65x = 1,172,686.30
  5. Step 5: Solve for x
    x = 1,172,686.30/1,203.65
  6. Step 6: Final answer
    x = 974.28

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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.