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Finding the Fourth Proportional to 745.84, 1,118.70 and 232.84

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Solution

The fourth proportional to 745.84, 1,118.70 and 232.84 is: 349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.84 : 1,118.70 = 232.84 : x
  2. Step 2: Convert to fraction form
    745.84/1,118.70 = 232.84/x
  3. Step 3: Cross multiply
    745.84x = 1,118.70 × 232.84
  4. Step 4: Simplify right side
    745.84x = 260,478.11
  5. Step 5: Solve for x
    x = 260,478.11/745.84
  6. Step 6: Final answer
    x = 349.24

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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.