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Finding the Fourth Proportional to 1,112.23, 1,668.35 and 463.02

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Solution

The fourth proportional to 1,112.23, 1,668.35 and 463.02 is: 694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.23 : 1,668.35 = 463.02 : x
  2. Step 2: Convert to fraction form
    1,112.23/1,668.35 = 463.02/x
  3. Step 3: Cross multiply
    1,112.23x = 1,668.35 × 463.02
  4. Step 4: Simplify right side
    1,112.23x = 772,479.42
  5. Step 5: Solve for x
    x = 772,479.42/1,112.23
  6. Step 6: Final answer
    x = 694.53

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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.