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Finding the Fourth Proportional to 999.30, 1,496.52 and 565.14

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Solution

The fourth proportional to 999.30, 1,496.52 and 565.14 is: 846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.30 : 1,496.52 = 565.14 : x
  2. Step 2: Convert to fraction form
    999.30/1,496.52 = 565.14/x
  3. Step 3: Cross multiply
    999.30x = 1,496.52 × 565.14
  4. Step 4: Simplify right side
    999.30x = 845,743.31
  5. Step 5: Solve for x
    x = 845,743.31/999.30
  6. Step 6: Final answer
    x = 846.34

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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.