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Finding the Fourth Proportional to 918, 1,264.14 and 806.94

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Solution

The fourth proportional to 918, 1,264.14 and 806.94 is: 1,111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    918 : 1,264.14 = 806.94 : x
  2. Step 2: Convert to fraction form
    918/1,264.14 = 806.94/x
  3. Step 3: Cross multiply
    918x = 1,264.14 × 806.94
  4. Step 4: Simplify right side
    918x = 1,020,085.13
  5. Step 5: Solve for x
    x = 1,020,085.13/918
  6. Step 6: Final answer
    x = 1,111.20

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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.