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Finding the Fourth Proportional to 1,200.02, 1,808.64 and 1,133.04

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Solution

The fourth proportional to 1,200.02, 1,808.64 and 1,133.04 is: 1,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.02 : 1,808.64 = 1,133.04 : x
  2. Step 2: Convert to fraction form
    1,200.02/1,808.64 = 1,133.04/x
  3. Step 3: Cross multiply
    1,200.02x = 1,808.64 × 1,133.04
  4. Step 4: Simplify right side
    1,200.02x = 2,049,261.47
  5. Step 5: Solve for x
    x = 2,049,261.47/1,200.02
  6. Step 6: Final answer
    x = 1,707.69

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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.