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Finding the Fourth Proportional to 1,466.52, 2,199.76 and 440.52

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Solution

The fourth proportional to 1,466.52, 2,199.76 and 440.52 is: 660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.52 : 2,199.76 = 440.52 : x
  2. Step 2: Convert to fraction form
    1,466.52/2,199.76 = 440.52/x
  3. Step 3: Cross multiply
    1,466.52x = 2,199.76 × 440.52
  4. Step 4: Simplify right side
    1,466.52x = 969,038.28
  5. Step 5: Solve for x
    x = 969,038.28/1,466.52
  6. Step 6: Final answer
    x = 660.77

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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.