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Finding the Fourth Proportional to 1,201.55, 1,656.74 and 847.53

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Solution

The fourth proportional to 1,201.55, 1,656.74 and 847.53 is: 1,168.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.55 : 1,656.74 = 847.53 : x
  2. Step 2: Convert to fraction form
    1,201.55/1,656.74 = 847.53/x
  3. Step 3: Cross multiply
    1,201.55x = 1,656.74 × 847.53
  4. Step 4: Simplify right side
    1,201.55x = 1,404,132.61
  5. Step 5: Solve for x
    x = 1,404,132.61/1,201.55
  6. Step 6: Final answer
    x = 1,168.61

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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.