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Finding the Fourth Proportional to 665.22, 917.55 and 610.14

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Solution

The fourth proportional to 665.22, 917.55 and 610.14 is: 841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.22 : 917.55 = 610.14 : x
  2. Step 2: Convert to fraction form
    665.22/917.55 = 610.14/x
  3. Step 3: Cross multiply
    665.22x = 917.55 × 610.14
  4. Step 4: Simplify right side
    665.22x = 559,833.96
  5. Step 5: Solve for x
    x = 559,833.96/665.22
  6. Step 6: Final answer
    x = 841.58

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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.