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Finding the Fourth Proportional to 1,112.76, 1,668.98 and 291.04

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Solution

The fourth proportional to 1,112.76, 1,668.98 and 291.04 is: 436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.76 : 1,668.98 = 291.04 : x
  2. Step 2: Convert to fraction form
    1,112.76/1,668.98 = 291.04/x
  3. Step 3: Cross multiply
    1,112.76x = 1,668.98 × 291.04
  4. Step 4: Simplify right side
    1,112.76x = 485,739.94
  5. Step 5: Solve for x
    x = 485,739.94/1,112.76
  6. Step 6: Final answer
    x = 436.52

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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.