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Finding the Fourth Proportional to 1,112.81, 1,536.09 and 670.71

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Solution

The fourth proportional to 1,112.81, 1,536.09 and 670.71 is: 925.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.81 : 1,536.09 = 670.71 : x
  2. Step 2: Convert to fraction form
    1,112.81/1,536.09 = 670.71/x
  3. Step 3: Cross multiply
    1,112.81x = 1,536.09 × 670.71
  4. Step 4: Simplify right side
    1,112.81x = 1,030,270.92
  5. Step 5: Solve for x
    x = 1,030,270.92/1,112.81
  6. Step 6: Final answer
    x = 925.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.