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Finding the Fourth Proportional to 1,466.29, 2,199.03 and 491.86

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Solution

The fourth proportional to 1,466.29, 2,199.03 and 491.86 is: 737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.29 : 2,199.03 = 491.86 : x
  2. Step 2: Convert to fraction form
    1,466.29/2,199.03 = 491.86/x
  3. Step 3: Cross multiply
    1,466.29x = 2,199.03 × 491.86
  4. Step 4: Simplify right side
    1,466.29x = 1,081,614.90
  5. Step 5: Solve for x
    x = 1,081,614.90/1,466.29
  6. Step 6: Final answer
    x = 737.65

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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.