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Finding the Fourth Proportional to 999.79, 1,497.91 and 537.08

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Solution

The fourth proportional to 999.79, 1,497.91 and 537.08 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.79 : 1,497.91 = 537.08 : x
  2. Step 2: Convert to fraction form
    999.79/1,497.91 = 537.08/x
  3. Step 3: Cross multiply
    999.79x = 1,497.91 × 537.08
  4. Step 4: Simplify right side
    999.79x = 804,497.50
  5. Step 5: Solve for x
    x = 804,497.50/999.79
  6. Step 6: Final answer
    x = 804.67

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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.