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Finding the Fourth Proportional to 1,490.47, 2,234.08 and 623.77

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Solution

The fourth proportional to 1,490.47, 2,234.08 and 623.77 is: 934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.47 : 2,234.08 = 623.77 : x
  2. Step 2: Convert to fraction form
    1,490.47/2,234.08 = 623.77/x
  3. Step 3: Cross multiply
    1,490.47x = 2,234.08 × 623.77
  4. Step 4: Simplify right side
    1,490.47x = 1,393,539.35
  5. Step 5: Solve for x
    x = 1,393,539.35/1,490.47
  6. Step 6: Final answer
    x = 934.97

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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.