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Finding the Fourth Proportional to 1,449.96, 2,174.35 and 462.45

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Solution

The fourth proportional to 1,449.96, 2,174.35 and 462.45 is: 693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.96 : 2,174.35 = 462.45 : x
  2. Step 2: Convert to fraction form
    1,449.96/2,174.35 = 462.45/x
  3. Step 3: Cross multiply
    1,449.96x = 2,174.35 × 462.45
  4. Step 4: Simplify right side
    1,449.96x = 1,005,528.16
  5. Step 5: Solve for x
    x = 1,005,528.16/1,449.96
  6. Step 6: Final answer
    x = 693.49

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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.