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Finding the Fourth Proportional to 659.22, 910.62 and 597.12

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Solution

The fourth proportional to 659.22, 910.62 and 597.12 is: 824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.22 : 910.62 = 597.12 : x
  2. Step 2: Convert to fraction form
    659.22/910.62 = 597.12/x
  3. Step 3: Cross multiply
    659.22x = 910.62 × 597.12
  4. Step 4: Simplify right side
    659.22x = 543,749.41
  5. Step 5: Solve for x
    x = 543,749.41/659.22
  6. Step 6: Final answer
    x = 824.84

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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.