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Finding the Fourth Proportional to 735.03, 1,106.95 and 669.42

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Solution

The fourth proportional to 735.03, 1,106.95 and 669.42 is: 1,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.03 : 1,106.95 = 669.42 : x
  2. Step 2: Convert to fraction form
    735.03/1,106.95 = 669.42/x
  3. Step 3: Cross multiply
    735.03x = 1,106.95 × 669.42
  4. Step 4: Simplify right side
    735.03x = 741,011.12
  5. Step 5: Solve for x
    x = 741,011.12/735.03
  6. Step 6: Final answer
    x = 1,008.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.