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Finding the Fourth Proportional to 836.46, 1,153.68 and 521.58

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Solution

The fourth proportional to 836.46, 1,153.68 and 521.58 is: 719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.46 : 1,153.68 = 521.58 : x
  2. Step 2: Convert to fraction form
    836.46/1,153.68 = 521.58/x
  3. Step 3: Cross multiply
    836.46x = 1,153.68 × 521.58
  4. Step 4: Simplify right side
    836.46x = 601,736.41
  5. Step 5: Solve for x
    x = 601,736.41/836.46
  6. Step 6: Final answer
    x = 719.38

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Double scale
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1.5x scale

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.