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Finding the Fourth Proportional to 978.52, 1,468.05 and 401.80

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Solution

The fourth proportional to 978.52, 1,468.05 and 401.80 is: 602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.52 : 1,468.05 = 401.80 : x
  2. Step 2: Convert to fraction form
    978.52/1,468.05 = 401.80/x
  3. Step 3: Cross multiply
    978.52x = 1,468.05 × 401.80
  4. Step 4: Simplify right side
    978.52x = 589,862.49
  5. Step 5: Solve for x
    x = 589,862.49/978.52
  6. Step 6: Final answer
    x = 602.81

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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.