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Finding the Fourth Proportional to 999.03, 1,498.10 and 782.16

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Solution

The fourth proportional to 999.03, 1,498.10 and 782.16 is: 1,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.03 : 1,498.10 = 782.16 : x
  2. Step 2: Convert to fraction form
    999.03/1,498.10 = 782.16/x
  3. Step 3: Cross multiply
    999.03x = 1,498.10 × 782.16
  4. Step 4: Simplify right side
    999.03x = 1,171,744.37
  5. Step 5: Solve for x
    x = 1,171,744.37/999.03
  6. Step 6: Final answer
    x = 1,172.88

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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.