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Finding the Fourth Proportional to 979.48, 1,467.06 and 653.32

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Solution

The fourth proportional to 979.48, 1,467.06 and 653.32 is: 978.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.48 : 1,467.06 = 653.32 : x
  2. Step 2: Convert to fraction form
    979.48/1,467.06 = 653.32/x
  3. Step 3: Cross multiply
    979.48x = 1,467.06 × 653.32
  4. Step 4: Simplify right side
    979.48x = 958,459.64
  5. Step 5: Solve for x
    x = 958,459.64/979.48
  6. Step 6: Final answer
    x = 978.54

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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.