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Finding the Fourth Proportional to 689.46, 1,032.48 and 400.02

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Solution

The fourth proportional to 689.46, 1,032.48 and 400.02 is: 599.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.46 : 1,032.48 = 400.02 : x
  2. Step 2: Convert to fraction form
    689.46/1,032.48 = 400.02/x
  3. Step 3: Cross multiply
    689.46x = 1,032.48 × 400.02
  4. Step 4: Simplify right side
    689.46x = 413,012.65
  5. Step 5: Solve for x
    x = 413,012.65/689.46
  6. Step 6: Final answer
    x = 599.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.