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Finding the Fourth Proportional to 978.13, 1,467.15 and 484.91

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Solution

The fourth proportional to 978.13, 1,467.15 and 484.91 is: 727.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.13 : 1,467.15 = 484.91 : x
  2. Step 2: Convert to fraction form
    978.13/1,467.15 = 484.91/x
  3. Step 3: Cross multiply
    978.13x = 1,467.15 × 484.91
  4. Step 4: Simplify right side
    978.13x = 711,435.71
  5. Step 5: Solve for x
    x = 711,435.71/978.13
  6. Step 6: Final answer
    x = 727.34

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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.