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Finding the Fourth Proportional to 835.07, 1,152.05 and 520.25

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Solution

The fourth proportional to 835.07, 1,152.05 and 520.25 is: 717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.07 : 1,152.05 = 520.25 : x
  2. Step 2: Convert to fraction form
    835.07/1,152.05 = 520.25/x
  3. Step 3: Cross multiply
    835.07x = 1,152.05 × 520.25
  4. Step 4: Simplify right side
    835.07x = 599,345.65
  5. Step 5: Solve for x
    x = 599,345.65/835.07
  6. Step 6: Final answer
    x = 717.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.