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Finding the Fourth Proportional to 1,052.79, 1,452.90 and 659.94

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Solution

The fourth proportional to 1,052.79, 1,452.90 and 659.94 is: 910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.79 : 1,452.90 = 659.94 : x
  2. Step 2: Convert to fraction form
    1,052.79/1,452.90 = 659.94/x
  3. Step 3: Cross multiply
    1,052.79x = 1,452.90 × 659.94
  4. Step 4: Simplify right side
    1,052.79x = 958,826.83
  5. Step 5: Solve for x
    x = 958,826.83/1,052.79
  6. Step 6: Final answer
    x = 910.75

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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.