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Finding the Fourth Proportional to 1,233.48, 1,852.07 and 774.17

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Solution

The fourth proportional to 1,233.48, 1,852.07 and 774.17 is: 1,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.48 : 1,852.07 = 774.17 : x
  2. Step 2: Convert to fraction form
    1,233.48/1,852.07 = 774.17/x
  3. Step 3: Cross multiply
    1,233.48x = 1,852.07 × 774.17
  4. Step 4: Simplify right side
    1,233.48x = 1,433,803.90
  5. Step 5: Solve for x
    x = 1,433,803.90/1,233.48
  6. Step 6: Final answer
    x = 1,162.41

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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.