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Finding the Fourth Proportional to 1,122.51, 1,683.82 and 392.14

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Solution

The fourth proportional to 1,122.51, 1,683.82 and 392.14 is: 588.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.51 : 1,683.82 = 392.14 : x
  2. Step 2: Convert to fraction form
    1,122.51/1,683.82 = 392.14/x
  3. Step 3: Cross multiply
    1,122.51x = 1,683.82 × 392.14
  4. Step 4: Simplify right side
    1,122.51x = 660,295.77
  5. Step 5: Solve for x
    x = 660,295.77/1,122.51
  6. Step 6: Final answer
    x = 588.23

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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.