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Finding the Fourth Proportional to 978.35, 1,468.38 and 458.63

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Solution

The fourth proportional to 978.35, 1,468.38 and 458.63 is: 688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.35 : 1,468.38 = 458.63 : x
  2. Step 2: Convert to fraction form
    978.35/1,468.38 = 458.63/x
  3. Step 3: Cross multiply
    978.35x = 1,468.38 × 458.63
  4. Step 4: Simplify right side
    978.35x = 673,443.00
  5. Step 5: Solve for x
    x = 673,443.00/978.35
  6. Step 6: Final answer
    x = 688.35

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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.