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Finding the Fourth Proportional to 835.74, 1,152.90 and 504.18

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Solution

The fourth proportional to 835.74, 1,152.90 and 504.18 is: 695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.74 : 1,152.90 = 504.18 : x
  2. Step 2: Convert to fraction form
    835.74/1,152.90 = 504.18/x
  3. Step 3: Cross multiply
    835.74x = 1,152.90 × 504.18
  4. Step 4: Simplify right side
    835.74x = 581,269.12
  5. Step 5: Solve for x
    x = 581,269.12/835.74
  6. Step 6: Final answer
    x = 695.51

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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.