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Finding the Fourth Proportional to 966.86, 1,448.04 and 478.34

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Solution

The fourth proportional to 966.86, 1,448.04 and 478.34 is: 716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.86 : 1,448.04 = 478.34 : x
  2. Step 2: Convert to fraction form
    966.86/1,448.04 = 478.34/x
  3. Step 3: Cross multiply
    966.86x = 1,448.04 × 478.34
  4. Step 4: Simplify right side
    966.86x = 692,655.45
  5. Step 5: Solve for x
    x = 692,655.45/966.86
  6. Step 6: Final answer
    x = 716.40

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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.