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Finding the Fourth Proportional to 917.43, 1,265.75 and 586.05

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Solution

The fourth proportional to 917.43, 1,265.75 and 586.05 is: 808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.43 : 1,265.75 = 586.05 : x
  2. Step 2: Convert to fraction form
    917.43/1,265.75 = 586.05/x
  3. Step 3: Cross multiply
    917.43x = 1,265.75 × 586.05
  4. Step 4: Simplify right side
    917.43x = 741,789.86
  5. Step 5: Solve for x
    x = 741,789.86/917.43
  6. Step 6: Final answer
    x = 808.55

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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.