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Finding the Fourth Proportional to 837.16, 1,155.30 and 459.07

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Solution

The fourth proportional to 837.16, 1,155.30 and 459.07 is: 633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.16 : 1,155.30 = 459.07 : x
  2. Step 2: Convert to fraction form
    837.16/1,155.30 = 459.07/x
  3. Step 3: Cross multiply
    837.16x = 1,155.30 × 459.07
  4. Step 4: Simplify right side
    837.16x = 530,363.57
  5. Step 5: Solve for x
    x = 530,363.57/837.16
  6. Step 6: Final answer
    x = 633.53

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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.