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Finding the Fourth Proportional to 773.02, 1,157.00 and 701.07

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Solution

The fourth proportional to 773.02, 1,157.00 and 701.07 is: 1,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.02 : 1,157.00 = 701.07 : x
  2. Step 2: Convert to fraction form
    773.02/1,157.00 = 701.07/x
  3. Step 3: Cross multiply
    773.02x = 1,157.00 × 701.07
  4. Step 4: Simplify right side
    773.02x = 811,128.70
  5. Step 5: Solve for x
    x = 811,128.70/773.02
  6. Step 6: Final answer
    x = 1,049.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.