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Finding the Fourth Proportional to 1,536.49, 2,305.13 and 440.93

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Solution

The fourth proportional to 1,536.49, 2,305.13 and 440.93 is: 661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.49 : 2,305.13 = 440.93 : x
  2. Step 2: Convert to fraction form
    1,536.49/2,305.13 = 440.93/x
  3. Step 3: Cross multiply
    1,536.49x = 2,305.13 × 440.93
  4. Step 4: Simplify right side
    1,536.49x = 1,016,404.53
  5. Step 5: Solve for x
    x = 1,016,404.53/1,536.49
  6. Step 6: Final answer
    x = 661.51

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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.