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Finding the Fourth Proportional to 1,100.30, 1,518.45 and 602.97

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Solution

The fourth proportional to 1,100.30, 1,518.45 and 602.97 is: 832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.30 : 1,518.45 = 602.97 : x
  2. Step 2: Convert to fraction form
    1,100.30/1,518.45 = 602.97/x
  3. Step 3: Cross multiply
    1,100.30x = 1,518.45 × 602.97
  4. Step 4: Simplify right side
    1,100.30x = 915,585.05
  5. Step 5: Solve for x
    x = 915,585.05/1,100.30
  6. Step 6: Final answer
    x = 832.12

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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.