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Finding the Fourth Proportional to 693.22, 1,038.52 and 461.40

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Solution

The fourth proportional to 693.22, 1,038.52 and 461.40 is: 691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.22 : 1,038.52 = 461.40 : x
  2. Step 2: Convert to fraction form
    693.22/1,038.52 = 461.40/x
  3. Step 3: Cross multiply
    693.22x = 1,038.52 × 461.40
  4. Step 4: Simplify right side
    693.22x = 479,173.13
  5. Step 5: Solve for x
    x = 479,173.13/693.22
  6. Step 6: Final answer
    x = 691.23

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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.