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Finding the Fourth Proportional to 1,554.18, 2,331.33 and 774.55

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Solution

The fourth proportional to 1,554.18, 2,331.33 and 774.55 is: 1,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.18 : 2,331.33 = 774.55 : x
  2. Step 2: Convert to fraction form
    1,554.18/2,331.33 = 774.55/x
  3. Step 3: Cross multiply
    1,554.18x = 2,331.33 × 774.55
  4. Step 4: Simplify right side
    1,554.18x = 1,805,731.65
  5. Step 5: Solve for x
    x = 1,805,731.65/1,554.18
  6. Step 6: Final answer
    x = 1,161.85

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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.