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Finding the Fourth Proportional to 745.81, 1,119.32 and 313.27

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Solution

The fourth proportional to 745.81, 1,119.32 and 313.27 is: 470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.81 : 1,119.32 = 313.27 : x
  2. Step 2: Convert to fraction form
    745.81/1,119.32 = 313.27/x
  3. Step 3: Cross multiply
    745.81x = 1,119.32 × 313.27
  4. Step 4: Simplify right side
    745.81x = 350,649.38
  5. Step 5: Solve for x
    x = 350,649.38/745.81
  6. Step 6: Final answer
    x = 470.16

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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.