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Finding the Fourth Proportional to 745.80, 1,119.06 and 472.74

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Solution

The fourth proportional to 745.80, 1,119.06 and 472.74 is: 709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.80 : 1,119.06 = 472.74 : x
  2. Step 2: Convert to fraction form
    745.80/1,119.06 = 472.74/x
  3. Step 3: Cross multiply
    745.80x = 1,119.06 × 472.74
  4. Step 4: Simplify right side
    745.80x = 529,024.42
  5. Step 5: Solve for x
    x = 529,024.42/745.80
  6. Step 6: Final answer
    x = 709.34

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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.