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Finding the Fourth Proportional to 836.27, 1,153.94 and 463.16

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Solution

The fourth proportional to 836.27, 1,153.94 and 463.16 is: 639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.27 : 1,153.94 = 463.16 : x
  2. Step 2: Convert to fraction form
    836.27/1,153.94 = 463.16/x
  3. Step 3: Cross multiply
    836.27x = 1,153.94 × 463.16
  4. Step 4: Simplify right side
    836.27x = 534,460.01
  5. Step 5: Solve for x
    x = 534,460.01/836.27
  6. Step 6: Final answer
    x = 639.10

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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.