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Finding the Fourth Proportional to 1,122.77, 1,683.08 and 392.15

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Solution

The fourth proportional to 1,122.77, 1,683.08 and 392.15 is: 587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.77 : 1,683.08 = 392.15 : x
  2. Step 2: Convert to fraction form
    1,122.77/1,683.08 = 392.15/x
  3. Step 3: Cross multiply
    1,122.77x = 1,683.08 × 392.15
  4. Step 4: Simplify right side
    1,122.77x = 660,011.41
  5. Step 5: Solve for x
    x = 660,011.41/1,122.77
  6. Step 6: Final answer
    x = 587.84

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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.