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Finding the Fourth Proportional to 1,102.33, 1,521.21 and 604.95

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Solution

The fourth proportional to 1,102.33, 1,521.21 and 604.95 is: 834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.33 : 1,521.21 = 604.95 : x
  2. Step 2: Convert to fraction form
    1,102.33/1,521.21 = 604.95/x
  3. Step 3: Cross multiply
    1,102.33x = 1,521.21 × 604.95
  4. Step 4: Simplify right side
    1,102.33x = 920,261.11
  5. Step 5: Solve for x
    x = 920,261.11/1,102.33
  6. Step 6: Final answer
    x = 834.84

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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.