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Finding the Fourth Proportional to 1,109.68, 1,664.76 and 562.16

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Solution

The fourth proportional to 1,109.68, 1,664.76 and 562.16 is: 843.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.68 : 1,664.76 = 562.16 : x
  2. Step 2: Convert to fraction form
    1,109.68/1,664.76 = 562.16/x
  3. Step 3: Cross multiply
    1,109.68x = 1,664.76 × 562.16
  4. Step 4: Simplify right side
    1,109.68x = 935,861.48
  5. Step 5: Solve for x
    x = 935,861.48/1,109.68
  6. Step 6: Final answer
    x = 843.36

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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.