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Finding the Fourth Proportional to 993.54, 1,490.56 and 701.61

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Solution

The fourth proportional to 993.54, 1,490.56 and 701.61 is: 1,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.54 : 1,490.56 = 701.61 : x
  2. Step 2: Convert to fraction form
    993.54/1,490.56 = 701.61/x
  3. Step 3: Cross multiply
    993.54x = 1,490.56 × 701.61
  4. Step 4: Simplify right side
    993.54x = 1,045,792.02
  5. Step 5: Solve for x
    x = 1,045,792.02/993.54
  6. Step 6: Final answer
    x = 1,052.59

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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.