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Finding the Fourth Proportional to 1,440.48, 2,160.46 and 466.68

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Solution

The fourth proportional to 1,440.48, 2,160.46 and 466.68 is: 699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.48 : 2,160.46 = 466.68 : x
  2. Step 2: Convert to fraction form
    1,440.48/2,160.46 = 466.68/x
  3. Step 3: Cross multiply
    1,440.48x = 2,160.46 × 466.68
  4. Step 4: Simplify right side
    1,440.48x = 1,008,243.47
  5. Step 5: Solve for x
    x = 1,008,243.47/1,440.48
  6. Step 6: Final answer
    x = 699.94

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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.