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Finding the Fourth Proportional to 835.32, 1,252.42 and 470.36

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Solution

The fourth proportional to 835.32, 1,252.42 and 470.36 is: 705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.32 : 1,252.42 = 470.36 : x
  2. Step 2: Convert to fraction form
    835.32/1,252.42 = 470.36/x
  3. Step 3: Cross multiply
    835.32x = 1,252.42 × 470.36
  4. Step 4: Simplify right side
    835.32x = 589,088.27
  5. Step 5: Solve for x
    x = 589,088.27/835.32
  6. Step 6: Final answer
    x = 705.22

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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.