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Finding the Fourth Proportional to 978.93, 1,468.44 and 458.82

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Solution

The fourth proportional to 978.93, 1,468.44 and 458.82 is: 688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.93 : 1,468.44 = 458.82 : x
  2. Step 2: Convert to fraction form
    978.93/1,468.44 = 458.82/x
  3. Step 3: Cross multiply
    978.93x = 1,468.44 × 458.82
  4. Step 4: Simplify right side
    978.93x = 673,749.64
  5. Step 5: Solve for x
    x = 673,749.64/978.93
  6. Step 6: Final answer
    x = 688.25

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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.