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Finding the Fourth Proportional to 1,085.64, 1,634.28 and 934.94

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Solution

The fourth proportional to 1,085.64, 1,634.28 and 934.94 is: 1,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.64 : 1,634.28 = 934.94 : x
  2. Step 2: Convert to fraction form
    1,085.64/1,634.28 = 934.94/x
  3. Step 3: Cross multiply
    1,085.64x = 1,634.28 × 934.94
  4. Step 4: Simplify right side
    1,085.64x = 1,527,945.57
  5. Step 5: Solve for x
    x = 1,527,945.57/1,085.64
  6. Step 6: Final answer
    x = 1,407.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.