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Finding the Fourth Proportional to 994.72, 1,490.16 and 562.72

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Solution

The fourth proportional to 994.72, 1,490.16 and 562.72 is: 842.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.72 : 1,490.16 = 562.72 : x
  2. Step 2: Convert to fraction form
    994.72/1,490.16 = 562.72/x
  3. Step 3: Cross multiply
    994.72x = 1,490.16 × 562.72
  4. Step 4: Simplify right side
    994.72x = 838,542.84
  5. Step 5: Solve for x
    x = 838,542.84/994.72
  6. Step 6: Final answer
    x = 842.99

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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.