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Finding the Fourth Proportional to 917.10, 1,264.99 and 585.94

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Solution

The fourth proportional to 917.10, 1,264.99 and 585.94 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.10 : 1,264.99 = 585.94 : x
  2. Step 2: Convert to fraction form
    917.10/1,264.99 = 585.94/x
  3. Step 3: Cross multiply
    917.10x = 1,264.99 × 585.94
  4. Step 4: Simplify right side
    917.10x = 741,208.24
  5. Step 5: Solve for x
    x = 741,208.24/917.10
  6. Step 6: Final answer
    x = 808.21

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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.