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Finding the Fourth Proportional to 838.81, 1,157.61 and 507.25

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Solution

The fourth proportional to 838.81, 1,157.61 and 507.25 is: 700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.81 : 1,157.61 = 507.25 : x
  2. Step 2: Convert to fraction form
    838.81/1,157.61 = 507.25/x
  3. Step 3: Cross multiply
    838.81x = 1,157.61 × 507.25
  4. Step 4: Simplify right side
    838.81x = 587,194.78
  5. Step 5: Solve for x
    x = 587,194.78/838.81
  6. Step 6: Final answer
    x = 700.04

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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.