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Finding the Fourth Proportional to 965.55, 1,447.11 and 478.47

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Solution

The fourth proportional to 965.55, 1,447.11 and 478.47 is: 717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.55 : 1,447.11 = 478.47 : x
  2. Step 2: Convert to fraction form
    965.55/1,447.11 = 478.47/x
  3. Step 3: Cross multiply
    965.55x = 1,447.11 × 478.47
  4. Step 4: Simplify right side
    965.55x = 692,398.72
  5. Step 5: Solve for x
    x = 692,398.72/965.55
  6. Step 6: Final answer
    x = 717.10

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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.