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Finding the Fourth Proportional to 1,205.78, 1,664.13 and 681.92

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Solution

The fourth proportional to 1,205.78, 1,664.13 and 681.92 is: 941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.78 : 1,664.13 = 681.92 : x
  2. Step 2: Convert to fraction form
    1,205.78/1,664.13 = 681.92/x
  3. Step 3: Cross multiply
    1,205.78x = 1,664.13 × 681.92
  4. Step 4: Simplify right side
    1,205.78x = 1,134,803.53
  5. Step 5: Solve for x
    x = 1,134,803.53/1,205.78
  6. Step 6: Final answer
    x = 941.14

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1.5x scale

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.