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Finding the Fourth Proportional to 836.16, 1,153.84 and 482.08

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Solution

The fourth proportional to 836.16, 1,153.84 and 482.08 is: 665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.16 : 1,153.84 = 482.08 : x
  2. Step 2: Convert to fraction form
    836.16/1,153.84 = 482.08/x
  3. Step 3: Cross multiply
    836.16x = 1,153.84 × 482.08
  4. Step 4: Simplify right side
    836.16x = 556,235.01
  5. Step 5: Solve for x
    x = 556,235.01/836.16
  6. Step 6: Final answer
    x = 665.23

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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.