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Finding the Fourth Proportional to 1,330.70, 1,996.95 and 745.70

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Solution

The fourth proportional to 1,330.70, 1,996.95 and 745.70 is: 1,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.70 : 1,996.95 = 745.70 : x
  2. Step 2: Convert to fraction form
    1,330.70/1,996.95 = 745.70/x
  3. Step 3: Cross multiply
    1,330.70x = 1,996.95 × 745.70
  4. Step 4: Simplify right side
    1,330.70x = 1,489,125.62
  5. Step 5: Solve for x
    x = 1,489,125.62/1,330.70
  6. Step 6: Final answer
    x = 1,119.05

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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.