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Finding the Fourth Proportional to 1,112.76, 1,666.68 and 1,090.60

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Solution

The fourth proportional to 1,112.76, 1,666.68 and 1,090.60 is: 1,633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.76 : 1,666.68 = 1,090.60 : x
  2. Step 2: Convert to fraction form
    1,112.76/1,666.68 = 1,090.60/x
  3. Step 3: Cross multiply
    1,112.76x = 1,666.68 × 1,090.60
  4. Step 4: Simplify right side
    1,112.76x = 1,817,681.21
  5. Step 5: Solve for x
    x = 1,817,681.21/1,112.76
  6. Step 6: Final answer
    x = 1,633.49

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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.