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Finding the Fourth Proportional to 978.32, 1,467.48 and 465.68

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Solution

The fourth proportional to 978.32, 1,467.48 and 465.68 is: 698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.32 : 1,467.48 = 465.68 : x
  2. Step 2: Convert to fraction form
    978.32/1,467.48 = 465.68/x
  3. Step 3: Cross multiply
    978.32x = 1,467.48 × 465.68
  4. Step 4: Simplify right side
    978.32x = 683,376.09
  5. Step 5: Solve for x
    x = 683,376.09/978.32
  6. Step 6: Final answer
    x = 698.52

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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.