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Finding the Fourth Proportional to 689.65, 1,032.04 and 480.40

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Solution

The fourth proportional to 689.65, 1,032.04 and 480.40 is: 718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.65 : 1,032.04 = 480.40 : x
  2. Step 2: Convert to fraction form
    689.65/1,032.04 = 480.40/x
  3. Step 3: Cross multiply
    689.65x = 1,032.04 × 480.40
  4. Step 4: Simplify right side
    689.65x = 495,790.04
  5. Step 5: Solve for x
    x = 495,790.04/689.65
  6. Step 6: Final answer
    x = 718.90

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Why These Related Problems?

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