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Finding the Fourth Proportional to 835.74, 1,253.81 and 470.77

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Solution

The fourth proportional to 835.74, 1,253.81 and 470.77 is: 706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.74 : 1,253.81 = 470.77 : x
  2. Step 2: Convert to fraction form
    835.74/1,253.81 = 470.77/x
  3. Step 3: Cross multiply
    835.74x = 1,253.81 × 470.77
  4. Step 4: Simplify right side
    835.74x = 590,254.18
  5. Step 5: Solve for x
    x = 590,254.18/835.74
  6. Step 6: Final answer
    x = 706.27

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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.