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Finding the Fourth Proportional to 836.53, 1,254.81 and 470.53

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Solution

The fourth proportional to 836.53, 1,254.81 and 470.53 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.53 : 1,254.81 = 470.53 : x
  2. Step 2: Convert to fraction form
    836.53/1,254.81 = 470.53/x
  3. Step 3: Cross multiply
    836.53x = 1,254.81 × 470.53
  4. Step 4: Simplify right side
    836.53x = 590,425.75
  5. Step 5: Solve for x
    x = 590,425.75/836.53
  6. Step 6: Final answer
    x = 705.80

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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.