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Finding the Fourth Proportional to 1,440.34, 2,160.81 and 466.37

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Solution

The fourth proportional to 1,440.34, 2,160.81 and 466.37 is: 699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.34 : 2,160.81 = 466.37 : x
  2. Step 2: Convert to fraction form
    1,440.34/2,160.81 = 466.37/x
  3. Step 3: Cross multiply
    1,440.34x = 2,160.81 × 466.37
  4. Step 4: Simplify right side
    1,440.34x = 1,007,726.16
  5. Step 5: Solve for x
    x = 1,007,726.16/1,440.34
  6. Step 6: Final answer
    x = 699.65

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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.