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Finding the Fourth Proportional to 993.26, 1,490.22 and 697.08

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Solution

The fourth proportional to 993.26, 1,490.22 and 697.08 is: 1,045.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.26 : 1,490.22 = 697.08 : x
  2. Step 2: Convert to fraction form
    993.26/1,490.22 = 697.08/x
  3. Step 3: Cross multiply
    993.26x = 1,490.22 × 697.08
  4. Step 4: Simplify right side
    993.26x = 1,038,802.56
  5. Step 5: Solve for x
    x = 1,038,802.56/993.26
  6. Step 6: Final answer
    x = 1,045.85

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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.