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Finding the Fourth Proportional to 1,156.58, 1,732.19 and 744.49

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Solution

The fourth proportional to 1,156.58, 1,732.19 and 744.49 is: 1,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.58 : 1,732.19 = 744.49 : x
  2. Step 2: Convert to fraction form
    1,156.58/1,732.19 = 744.49/x
  3. Step 3: Cross multiply
    1,156.58x = 1,732.19 × 744.49
  4. Step 4: Simplify right side
    1,156.58x = 1,289,596.58
  5. Step 5: Solve for x
    x = 1,289,596.58/1,156.58
  6. Step 6: Final answer
    x = 1,115.01

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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.