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Finding the Fourth Proportional to 917.47, 1,266.24 and 585.91

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Solution

The fourth proportional to 917.47, 1,266.24 and 585.91 is: 808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.47 : 1,266.24 = 585.91 : x
  2. Step 2: Convert to fraction form
    917.47/1,266.24 = 585.91/x
  3. Step 3: Cross multiply
    917.47x = 1,266.24 × 585.91
  4. Step 4: Simplify right side
    917.47x = 741,902.68
  5. Step 5: Solve for x
    x = 741,902.68/917.47
  6. Step 6: Final answer
    x = 808.64

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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.