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Finding the Fourth Proportional to 689.61, 1,032.90 and 416.04

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Solution

The fourth proportional to 689.61, 1,032.90 and 416.04 is: 623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.61 : 1,032.90 = 416.04 : x
  2. Step 2: Convert to fraction form
    689.61/1,032.90 = 416.04/x
  3. Step 3: Cross multiply
    689.61x = 1,032.90 × 416.04
  4. Step 4: Simplify right side
    689.61x = 429,727.72
  5. Step 5: Solve for x
    x = 429,727.72/689.61
  6. Step 6: Final answer
    x = 623.15

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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.