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Finding the Fourth Proportional to 993.26, 1,490.16 and 473.24

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Solution

The fourth proportional to 993.26, 1,490.16 and 473.24 is: 709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.26 : 1,490.16 = 473.24 : x
  2. Step 2: Convert to fraction form
    993.26/1,490.16 = 473.24/x
  3. Step 3: Cross multiply
    993.26x = 1,490.16 × 473.24
  4. Step 4: Simplify right side
    993.26x = 705,203.32
  5. Step 5: Solve for x
    x = 705,203.32/993.26
  6. Step 6: Final answer
    x = 709.99

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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.