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Finding the Fourth Proportional to 917.30, 1,265.61 and 586.06

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Solution

The fourth proportional to 917.30, 1,265.61 and 586.06 is: 808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.30 : 1,265.61 = 586.06 : x
  2. Step 2: Convert to fraction form
    917.30/1,265.61 = 586.06/x
  3. Step 3: Cross multiply
    917.30x = 1,265.61 × 586.06
  4. Step 4: Simplify right side
    917.30x = 741,720.23
  5. Step 5: Solve for x
    x = 741,720.23/917.30
  6. Step 6: Final answer
    x = 808.59

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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.