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Finding the Fourth Proportional to 845.32, 1,165.80 and 513.40

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Solution

The fourth proportional to 845.32, 1,165.80 and 513.40 is: 708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.32 : 1,165.80 = 513.40 : x
  2. Step 2: Convert to fraction form
    845.32/1,165.80 = 513.40/x
  3. Step 3: Cross multiply
    845.32x = 1,165.80 × 513.40
  4. Step 4: Simplify right side
    845.32x = 598,521.72
  5. Step 5: Solve for x
    x = 598,521.72/845.32
  6. Step 6: Final answer
    x = 708.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.