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Finding the Fourth Proportional to 745.34, 1,119.09 and 540.14

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Solution

The fourth proportional to 745.34, 1,119.09 and 540.14 is: 810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.34 : 1,119.09 = 540.14 : x
  2. Step 2: Convert to fraction form
    745.34/1,119.09 = 540.14/x
  3. Step 3: Cross multiply
    745.34x = 1,119.09 × 540.14
  4. Step 4: Simplify right side
    745.34x = 604,465.27
  5. Step 5: Solve for x
    x = 604,465.27/745.34
  6. Step 6: Final answer
    x = 810.99

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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.