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Finding the Fourth Proportional to 899.55, 1,233.63 and 862.13

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Solution

The fourth proportional to 899.55, 1,233.63 and 862.13 is: 1,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.55 : 1,233.63 = 862.13 : x
  2. Step 2: Convert to fraction form
    899.55/1,233.63 = 862.13/x
  3. Step 3: Cross multiply
    899.55x = 1,233.63 × 862.13
  4. Step 4: Simplify right side
    899.55x = 1,063,543.26
  5. Step 5: Solve for x
    x = 1,063,543.26/899.55
  6. Step 6: Final answer
    x = 1,182.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.