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Finding the Fourth Proportional to 836.16, 1,153.80 and 521.48

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Solution

The fourth proportional to 836.16, 1,153.80 and 521.48 is: 719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.16 : 1,153.80 = 521.48 : x
  2. Step 2: Convert to fraction form
    836.16/1,153.80 = 521.48/x
  3. Step 3: Cross multiply
    836.16x = 1,153.80 × 521.48
  4. Step 4: Simplify right side
    836.16x = 601,677.86
  5. Step 5: Solve for x
    x = 601,677.86/836.16
  6. Step 6: Final answer
    x = 719.57

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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.