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Finding the Fourth Proportional to 670.16, 1,008.86 and 479.12

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Solution

The fourth proportional to 670.16, 1,008.86 and 479.12 is: 721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.16 : 1,008.86 = 479.12 : x
  2. Step 2: Convert to fraction form
    670.16/1,008.86 = 479.12/x
  3. Step 3: Cross multiply
    670.16x = 1,008.86 × 479.12
  4. Step 4: Simplify right side
    670.16x = 483,365.00
  5. Step 5: Solve for x
    x = 483,365.00/670.16
  6. Step 6: Final answer
    x = 721.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.