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Finding the Fourth Proportional to 1,100.22, 1,518.34 and 602.90

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Solution

The fourth proportional to 1,100.22, 1,518.34 and 602.90 is: 832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.22 : 1,518.34 = 602.90 : x
  2. Step 2: Convert to fraction form
    1,100.22/1,518.34 = 602.90/x
  3. Step 3: Cross multiply
    1,100.22x = 1,518.34 × 602.90
  4. Step 4: Simplify right side
    1,100.22x = 915,404.17
  5. Step 5: Solve for x
    x = 915,404.17/1,100.22
  6. Step 6: Final answer
    x = 832.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.