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Finding the Fourth Proportional to 1,090.67, 1,635.59 and 542.55

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Solution

The fourth proportional to 1,090.67, 1,635.59 and 542.55 is: 813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.67 : 1,635.59 = 542.55 : x
  2. Step 2: Convert to fraction form
    1,090.67/1,635.59 = 542.55/x
  3. Step 3: Cross multiply
    1,090.67x = 1,635.59 × 542.55
  4. Step 4: Simplify right side
    1,090.67x = 887,386.64
  5. Step 5: Solve for x
    x = 887,386.64/1,090.67
  6. Step 6: Final answer
    x = 813.62

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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.