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Finding the Fourth Proportional to 999.96, 1,498.23 and 653.10

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Solution

The fourth proportional to 999.96, 1,498.23 and 653.10 is: 978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.96 : 1,498.23 = 653.10 : x
  2. Step 2: Convert to fraction form
    999.96/1,498.23 = 653.10/x
  3. Step 3: Cross multiply
    999.96x = 1,498.23 × 653.10
  4. Step 4: Simplify right side
    999.96x = 978,494.01
  5. Step 5: Solve for x
    x = 978,494.01/999.96
  6. Step 6: Final answer
    x = 978.53

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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.