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Finding the Fourth Proportional to 839.33, 1,158.23 and 507.95

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Solution

The fourth proportional to 839.33, 1,158.23 and 507.95 is: 700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.33 : 1,158.23 = 507.95 : x
  2. Step 2: Convert to fraction form
    839.33/1,158.23 = 507.95/x
  3. Step 3: Cross multiply
    839.33x = 1,158.23 × 507.95
  4. Step 4: Simplify right side
    839.33x = 588,314.60
  5. Step 5: Solve for x
    x = 588,314.60/839.33
  6. Step 6: Final answer
    x = 700.93

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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.