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Finding the Fourth Proportional to 1,490.53, 2,234.95 and 613.64

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Solution

The fourth proportional to 1,490.53, 2,234.95 and 613.64 is: 920.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.53 : 2,234.95 = 613.64 : x
  2. Step 2: Convert to fraction form
    1,490.53/2,234.95 = 613.64/x
  3. Step 3: Cross multiply
    1,490.53x = 2,234.95 × 613.64
  4. Step 4: Simplify right side
    1,490.53x = 1,371,454.72
  5. Step 5: Solve for x
    x = 1,371,454.72/1,490.53
  6. Step 6: Final answer
    x = 920.11

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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.