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Finding the Fourth Proportional to 749.38, 1,122.15 and 684.10

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Solution

The fourth proportional to 749.38, 1,122.15 and 684.10 is: 1,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.38 : 1,122.15 = 684.10 : x
  2. Step 2: Convert to fraction form
    749.38/1,122.15 = 684.10/x
  3. Step 3: Cross multiply
    749.38x = 1,122.15 × 684.10
  4. Step 4: Simplify right side
    749.38x = 767,662.82
  5. Step 5: Solve for x
    x = 767,662.82/749.38
  6. Step 6: Final answer
    x = 1,024.40

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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.