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Finding the Fourth Proportional to 1,122.32, 1,683.47 and 472.64

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Solution

The fourth proportional to 1,122.32, 1,683.47 and 472.64 is: 708.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.32 : 1,683.47 = 472.64 : x
  2. Step 2: Convert to fraction form
    1,122.32/1,683.47 = 472.64/x
  3. Step 3: Cross multiply
    1,122.32x = 1,683.47 × 472.64
  4. Step 4: Simplify right side
    1,122.32x = 795,668.03
  5. Step 5: Solve for x
    x = 795,668.03/1,122.32
  6. Step 6: Final answer
    x = 708.95

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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.