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Finding the Fourth Proportional to 1,205.07, 1,660.53 and 925.29

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Solution

The fourth proportional to 1,205.07, 1,660.53 and 925.29 is: 1,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.07 : 1,660.53 = 925.29 : x
  2. Step 2: Convert to fraction form
    1,205.07/1,660.53 = 925.29/x
  3. Step 3: Cross multiply
    1,205.07x = 1,660.53 × 925.29
  4. Step 4: Simplify right side
    1,205.07x = 1,536,471.80
  5. Step 5: Solve for x
    x = 1,536,471.80/1,205.07
  6. Step 6: Final answer
    x = 1,275.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.