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Finding the Fourth Proportional to 1,196.80, 1,652.67 and 901.55

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Solution

The fourth proportional to 1,196.80, 1,652.67 and 901.55 is: 1,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.80 : 1,652.67 = 901.55 : x
  2. Step 2: Convert to fraction form
    1,196.80/1,652.67 = 901.55/x
  3. Step 3: Cross multiply
    1,196.80x = 1,652.67 × 901.55
  4. Step 4: Simplify right side
    1,196.80x = 1,489,968.77
  5. Step 5: Solve for x
    x = 1,489,968.77/1,196.80
  6. Step 6: Final answer
    x = 1,244.96

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1.5x scale

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.