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Finding the Fourth Proportional to 978.76, 1,468.14 and 401.50

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Solution

The fourth proportional to 978.76, 1,468.14 and 401.50 is: 602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.76 : 1,468.14 = 401.50 : x
  2. Step 2: Convert to fraction form
    978.76/1,468.14 = 401.50/x
  3. Step 3: Cross multiply
    978.76x = 1,468.14 × 401.50
  4. Step 4: Simplify right side
    978.76x = 589,458.21
  5. Step 5: Solve for x
    x = 589,458.21/978.76
  6. Step 6: Final answer
    x = 602.25

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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.