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Finding the Fourth Proportional to 1,193.44, 1,790.72 and 707.44

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Solution

The fourth proportional to 1,193.44, 1,790.72 and 707.44 is: 1,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.44 : 1,790.72 = 707.44 : x
  2. Step 2: Convert to fraction form
    1,193.44/1,790.72 = 707.44/x
  3. Step 3: Cross multiply
    1,193.44x = 1,790.72 × 707.44
  4. Step 4: Simplify right side
    1,193.44x = 1,266,826.96
  5. Step 5: Solve for x
    x = 1,266,826.96/1,193.44
  6. Step 6: Final answer
    x = 1,061.49

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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.