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Finding the Fourth Proportional to 966.36, 1,448.50 and 478.36

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Solution

The fourth proportional to 966.36, 1,448.50 and 478.36 is: 717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.36 : 1,448.50 = 478.36 : x
  2. Step 2: Convert to fraction form
    966.36/1,448.50 = 478.36/x
  3. Step 3: Cross multiply
    966.36x = 1,448.50 × 478.36
  4. Step 4: Simplify right side
    966.36x = 692,904.46
  5. Step 5: Solve for x
    x = 692,904.46/966.36
  6. Step 6: Final answer
    x = 717.03

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Why These Related Problems?

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