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Finding the Fourth Proportional to 1,216.67, 1,825.54 and 600.06

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Solution

The fourth proportional to 1,216.67, 1,825.54 and 600.06 is: 900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.67 : 1,825.54 = 600.06 : x
  2. Step 2: Convert to fraction form
    1,216.67/1,825.54 = 600.06/x
  3. Step 3: Cross multiply
    1,216.67x = 1,825.54 × 600.06
  4. Step 4: Simplify right side
    1,216.67x = 1,095,428.61
  5. Step 5: Solve for x
    x = 1,095,428.61/1,216.67
  6. Step 6: Final answer
    x = 900.35

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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.