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Finding the Fourth Proportional to 693.13, 1,038.82 and 346.56

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Solution

The fourth proportional to 693.13, 1,038.82 and 346.56 is: 519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.13 : 1,038.82 = 346.56 : x
  2. Step 2: Convert to fraction form
    693.13/1,038.82 = 346.56/x
  3. Step 3: Cross multiply
    693.13x = 1,038.82 × 346.56
  4. Step 4: Simplify right side
    693.13x = 360,013.03
  5. Step 5: Solve for x
    x = 360,013.03/693.13
  6. Step 6: Final answer
    x = 519.40

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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.