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Finding the Fourth Proportional to 837.09, 1,155.08 and 505.46

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Solution

The fourth proportional to 837.09, 1,155.08 and 505.46 is: 697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.09 : 1,155.08 = 505.46 : x
  2. Step 2: Convert to fraction form
    837.09/1,155.08 = 505.46/x
  3. Step 3: Cross multiply
    837.09x = 1,155.08 × 505.46
  4. Step 4: Simplify right side
    837.09x = 583,846.74
  5. Step 5: Solve for x
    x = 583,846.74/837.09
  6. Step 6: Final answer
    x = 697.47

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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.