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Finding the Fourth Proportional to 1,120.73, 1,681.14 and 390.36

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Solution

The fourth proportional to 1,120.73, 1,681.14 and 390.36 is: 585.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.73 : 1,681.14 = 390.36 : x
  2. Step 2: Convert to fraction form
    1,120.73/1,681.14 = 390.36/x
  3. Step 3: Cross multiply
    1,120.73x = 1,681.14 × 390.36
  4. Step 4: Simplify right side
    1,120.73x = 656,249.81
  5. Step 5: Solve for x
    x = 656,249.81/1,120.73
  6. Step 6: Final answer
    x = 585.56

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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.