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Finding the Fourth Proportional to 900.86, 1,352.18 and 641.15

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Solution

The fourth proportional to 900.86, 1,352.18 and 641.15 is: 962.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.86 : 1,352.18 = 641.15 : x
  2. Step 2: Convert to fraction form
    900.86/1,352.18 = 641.15/x
  3. Step 3: Cross multiply
    900.86x = 1,352.18 × 641.15
  4. Step 4: Simplify right side
    900.86x = 866,940.24
  5. Step 5: Solve for x
    x = 866,940.24/900.86
  6. Step 6: Final answer
    x = 962.35

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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.