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Finding the Fourth Proportional to 836.25, 1,253.16 and 470.54

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Solution

The fourth proportional to 836.25, 1,253.16 and 470.54 is: 705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.25 : 1,253.16 = 470.54 : x
  2. Step 2: Convert to fraction form
    836.25/1,253.16 = 470.54/x
  3. Step 3: Cross multiply
    836.25x = 1,253.16 × 470.54
  4. Step 4: Simplify right side
    836.25x = 589,655.64
  5. Step 5: Solve for x
    x = 589,655.64/836.25
  6. Step 6: Final answer
    x = 705.12

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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.