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Finding the Fourth Proportional to 918.90, 1,378.50 and 456.70

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Solution

The fourth proportional to 918.90, 1,378.50 and 456.70 is: 685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.90 : 1,378.50 = 456.70 : x
  2. Step 2: Convert to fraction form
    918.90/1,378.50 = 456.70/x
  3. Step 3: Cross multiply
    918.90x = 1,378.50 × 456.70
  4. Step 4: Simplify right side
    918.90x = 629,560.95
  5. Step 5: Solve for x
    x = 629,560.95/918.90
  6. Step 6: Final answer
    x = 685.12

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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.