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Finding the Fourth Proportional to 1,235.52, 1,851.38 and 772.06

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Solution

The fourth proportional to 1,235.52, 1,851.38 and 772.06 is: 1,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.52 : 1,851.38 = 772.06 : x
  2. Step 2: Convert to fraction form
    1,235.52/1,851.38 = 772.06/x
  3. Step 3: Cross multiply
    1,235.52x = 1,851.38 × 772.06
  4. Step 4: Simplify right side
    1,235.52x = 1,429,376.44
  5. Step 5: Solve for x
    x = 1,429,376.44/1,235.52
  6. Step 6: Final answer
    x = 1,156.90

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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.