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Finding the Fourth Proportional to 918.95, 1,378.58 and 456.75

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Solution

The fourth proportional to 918.95, 1,378.58 and 456.75 is: 685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.95 : 1,378.58 = 456.75 : x
  2. Step 2: Convert to fraction form
    918.95/1,378.58 = 456.75/x
  3. Step 3: Cross multiply
    918.95x = 1,378.58 × 456.75
  4. Step 4: Simplify right side
    918.95x = 629,667.56
  5. Step 5: Solve for x
    x = 629,667.56/918.95
  6. Step 6: Final answer
    x = 685.20

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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.