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Finding the Fourth Proportional to 1,191.23, 1,786.88 and 325.55

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Solution

The fourth proportional to 1,191.23, 1,786.88 and 325.55 is: 488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.23 : 1,786.88 = 325.55 : x
  2. Step 2: Convert to fraction form
    1,191.23/1,786.88 = 325.55/x
  3. Step 3: Cross multiply
    1,191.23x = 1,786.88 × 325.55
  4. Step 4: Simplify right side
    1,191.23x = 581,708.22
  5. Step 5: Solve for x
    x = 581,708.22/1,191.23
  6. Step 6: Final answer
    x = 488.32

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1.5x scale

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.