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Finding the Fourth Proportional to 835.05, 1,152.95 and 520.44

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Solution

The fourth proportional to 835.05, 1,152.95 and 520.44 is: 718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.05 : 1,152.95 = 520.44 : x
  2. Step 2: Convert to fraction form
    835.05/1,152.95 = 520.44/x
  3. Step 3: Cross multiply
    835.05x = 1,152.95 × 520.44
  4. Step 4: Simplify right side
    835.05x = 600,038.70
  5. Step 5: Solve for x
    x = 600,038.70/835.05
  6. Step 6: Final answer
    x = 718.57

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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.