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Finding the Fourth Proportional to 661.09, 914.04 and 579.08

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Solution

The fourth proportional to 661.09, 914.04 and 579.08 is: 800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.09 : 914.04 = 579.08 : x
  2. Step 2: Convert to fraction form
    661.09/914.04 = 579.08/x
  3. Step 3: Cross multiply
    661.09x = 914.04 × 579.08
  4. Step 4: Simplify right side
    661.09x = 529,302.28
  5. Step 5: Solve for x
    x = 529,302.28/661.09
  6. Step 6: Final answer
    x = 800.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.