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Finding the Fourth Proportional to 839.42, 1,158.54 and 507.87

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Solution

The fourth proportional to 839.42, 1,158.54 and 507.87 is: 700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.42 : 1,158.54 = 507.87 : x
  2. Step 2: Convert to fraction form
    839.42/1,158.54 = 507.87/x
  3. Step 3: Cross multiply
    839.42x = 1,158.54 × 507.87
  4. Step 4: Simplify right side
    839.42x = 588,387.71
  5. Step 5: Solve for x
    x = 588,387.71/839.42
  6. Step 6: Final answer
    x = 700.95

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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.