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Finding the Fourth Proportional to 1,490.95, 2,236.56 and 613.25

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Solution

The fourth proportional to 1,490.95, 2,236.56 and 613.25 is: 919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.95 : 2,236.56 = 613.25 : x
  2. Step 2: Convert to fraction form
    1,490.95/2,236.56 = 613.25/x
  3. Step 3: Cross multiply
    1,490.95x = 2,236.56 × 613.25
  4. Step 4: Simplify right side
    1,490.95x = 1,371,570.42
  5. Step 5: Solve for x
    x = 1,371,570.42/1,490.95
  6. Step 6: Final answer
    x = 919.93

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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.