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Finding the Fourth Proportional to 839.32, 1,157.96 and 507.50

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Solution

The fourth proportional to 839.32, 1,157.96 and 507.50 is: 700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.32 : 1,157.96 = 507.50 : x
  2. Step 2: Convert to fraction form
    839.32/1,157.96 = 507.50/x
  3. Step 3: Cross multiply
    839.32x = 1,157.96 × 507.50
  4. Step 4: Simplify right side
    839.32x = 587,664.70
  5. Step 5: Solve for x
    x = 587,664.70/839.32
  6. Step 6: Final answer
    x = 700.17

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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.