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Finding the Fourth Proportional to 836.02, 1,253.13 and 470.71

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Solution

The fourth proportional to 836.02, 1,253.13 and 470.71 is: 705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.02 : 1,253.13 = 470.71 : x
  2. Step 2: Convert to fraction form
    836.02/1,253.13 = 470.71/x
  3. Step 3: Cross multiply
    836.02x = 1,253.13 × 470.71
  4. Step 4: Simplify right side
    836.02x = 589,860.82
  5. Step 5: Solve for x
    x = 589,860.82/836.02
  6. Step 6: Final answer
    x = 705.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.