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Finding the Fourth Proportional to 999.89, 1,500.61 and 653.13

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Solution

The fourth proportional to 999.89, 1,500.61 and 653.13 is: 980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.89 : 1,500.61 = 653.13 : x
  2. Step 2: Convert to fraction form
    999.89/1,500.61 = 653.13/x
  3. Step 3: Cross multiply
    999.89x = 1,500.61 × 653.13
  4. Step 4: Simplify right side
    999.89x = 980,090.14
  5. Step 5: Solve for x
    x = 980,090.14/999.89
  6. Step 6: Final answer
    x = 980.20

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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.