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Finding the Fourth Proportional to 1,199.97, 1,656.51 and 846.18

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Solution

The fourth proportional to 1,199.97, 1,656.51 and 846.18 is: 1,168.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.97 : 1,656.51 = 846.18 : x
  2. Step 2: Convert to fraction form
    1,199.97/1,656.51 = 846.18/x
  3. Step 3: Cross multiply
    1,199.97x = 1,656.51 × 846.18
  4. Step 4: Simplify right side
    1,199.97x = 1,401,704.11
  5. Step 5: Solve for x
    x = 1,401,704.11/1,199.97
  6. Step 6: Final answer
    x = 1,168.12

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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.