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Finding the Fourth Proportional to 837.48, 1,155.24 and 613.08

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Solution

The fourth proportional to 837.48, 1,155.24 and 613.08 is: 845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.48 : 1,155.24 = 613.08 : x
  2. Step 2: Convert to fraction form
    837.48/1,155.24 = 613.08/x
  3. Step 3: Cross multiply
    837.48x = 1,155.24 × 613.08
  4. Step 4: Simplify right side
    837.48x = 708,254.54
  5. Step 5: Solve for x
    x = 708,254.54/837.48
  6. Step 6: Final answer
    x = 845.70

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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.