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Finding the Fourth Proportional to 917.21, 1,265.45 and 585.83

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Solution

The fourth proportional to 917.21, 1,265.45 and 585.83 is: 808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.21 : 1,265.45 = 585.83 : x
  2. Step 2: Convert to fraction form
    917.21/1,265.45 = 585.83/x
  3. Step 3: Cross multiply
    917.21x = 1,265.45 × 585.83
  4. Step 4: Simplify right side
    917.21x = 741,338.81
  5. Step 5: Solve for x
    x = 741,338.81/917.21
  6. Step 6: Final answer
    x = 808.25

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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.