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Finding the Fourth Proportional to 979.68, 1,468.52 and 394.50

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Solution

The fourth proportional to 979.68, 1,468.52 and 394.50 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.68 : 1,468.52 = 394.50 : x
  2. Step 2: Convert to fraction form
    979.68/1,468.52 = 394.50/x
  3. Step 3: Cross multiply
    979.68x = 1,468.52 × 394.50
  4. Step 4: Simplify right side
    979.68x = 579,331.14
  5. Step 5: Solve for x
    x = 579,331.14/979.68
  6. Step 6: Final answer
    x = 591.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.