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Finding the Fourth Proportional to 999.82, 1,497.30 and 690.85

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Solution

The fourth proportional to 999.82, 1,497.30 and 690.85 is: 1,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.82 : 1,497.30 = 690.85 : x
  2. Step 2: Convert to fraction form
    999.82/1,497.30 = 690.85/x
  3. Step 3: Cross multiply
    999.82x = 1,497.30 × 690.85
  4. Step 4: Simplify right side
    999.82x = 1,034,409.71
  5. Step 5: Solve for x
    x = 1,034,409.71/999.82
  6. Step 6: Final answer
    x = 1,034.60

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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.