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Finding the Fourth Proportional to 965.34, 1,448.06 and 478.08

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Solution

The fourth proportional to 965.34, 1,448.06 and 478.08 is: 717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.34 : 1,448.06 = 478.08 : x
  2. Step 2: Convert to fraction form
    965.34/1,448.06 = 478.08/x
  3. Step 3: Cross multiply
    965.34x = 1,448.06 × 478.08
  4. Step 4: Simplify right side
    965.34x = 692,286.13
  5. Step 5: Solve for x
    x = 692,286.13/965.34
  6. Step 6: Final answer
    x = 717.14

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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.