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Finding the Fourth Proportional to 978.84, 1,468.40 and 362.60

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Solution

The fourth proportional to 978.84, 1,468.40 and 362.60 is: 543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.84 : 1,468.40 = 362.60 : x
  2. Step 2: Convert to fraction form
    978.84/1,468.40 = 362.60/x
  3. Step 3: Cross multiply
    978.84x = 1,468.40 × 362.60
  4. Step 4: Simplify right side
    978.84x = 532,441.84
  5. Step 5: Solve for x
    x = 532,441.84/978.84
  6. Step 6: Final answer
    x = 543.95

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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.