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Finding the Fourth Proportional to 1,197.94, 1,652.46 and 805.50

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Solution

The fourth proportional to 1,197.94, 1,652.46 and 805.50 is: 1,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.94 : 1,652.46 = 805.50 : x
  2. Step 2: Convert to fraction form
    1,197.94/1,652.46 = 805.50/x
  3. Step 3: Cross multiply
    1,197.94x = 1,652.46 × 805.50
  4. Step 4: Simplify right side
    1,197.94x = 1,331,056.53
  5. Step 5: Solve for x
    x = 1,331,056.53/1,197.94
  6. Step 6: Final answer
    x = 1,111.12

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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.