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Finding the Fourth Proportional to 1,197.77, 1,797.96 and 952.55

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Solution

The fourth proportional to 1,197.77, 1,797.96 and 952.55 is: 1,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.77 : 1,797.96 = 952.55 : x
  2. Step 2: Convert to fraction form
    1,197.77/1,797.96 = 952.55/x
  3. Step 3: Cross multiply
    1,197.77x = 1,797.96 × 952.55
  4. Step 4: Simplify right side
    1,197.77x = 1,712,637.81
  5. Step 5: Solve for x
    x = 1,712,637.81/1,197.77
  6. Step 6: Final answer
    x = 1,429.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.