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Finding the Fourth Proportional to 1,185.88, 1,779.22 and 747.46

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Solution

The fourth proportional to 1,185.88, 1,779.22 and 747.46 is: 1,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.88 : 1,779.22 = 747.46 : x
  2. Step 2: Convert to fraction form
    1,185.88/1,779.22 = 747.46/x
  3. Step 3: Cross multiply
    1,185.88x = 1,779.22 × 747.46
  4. Step 4: Simplify right side
    1,185.88x = 1,329,895.78
  5. Step 5: Solve for x
    x = 1,329,895.78/1,185.88
  6. Step 6: Final answer
    x = 1,121.44

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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.