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Finding the Fourth Proportional to 1,233.19, 1,850.76 and 648.53

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Solution

The fourth proportional to 1,233.19, 1,850.76 and 648.53 is: 973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.19 : 1,850.76 = 648.53 : x
  2. Step 2: Convert to fraction form
    1,233.19/1,850.76 = 648.53/x
  3. Step 3: Cross multiply
    1,233.19x = 1,850.76 × 648.53
  4. Step 4: Simplify right side
    1,233.19x = 1,200,271.07
  5. Step 5: Solve for x
    x = 1,200,271.07/1,233.19
  6. Step 6: Final answer
    x = 973.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.