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Finding the Fourth Proportional to 745.13, 1,116.89 and 419.82

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Solution

The fourth proportional to 745.13, 1,116.89 and 419.82 is: 629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.13 : 1,116.89 = 419.82 : x
  2. Step 2: Convert to fraction form
    745.13/1,116.89 = 419.82/x
  3. Step 3: Cross multiply
    745.13x = 1,116.89 × 419.82
  4. Step 4: Simplify right side
    745.13x = 468,888.05
  5. Step 5: Solve for x
    x = 468,888.05/745.13
  6. Step 6: Final answer
    x = 629.27

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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.