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Finding the Fourth Proportional to 1,235.24, 1,853.04 and 772.64

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Solution

The fourth proportional to 1,235.24, 1,853.04 and 772.64 is: 1,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.24 : 1,853.04 = 772.64 : x
  2. Step 2: Convert to fraction form
    1,235.24/1,853.04 = 772.64/x
  3. Step 3: Cross multiply
    1,235.24x = 1,853.04 × 772.64
  4. Step 4: Simplify right side
    1,235.24x = 1,431,732.83
  5. Step 5: Solve for x
    x = 1,431,732.83/1,235.24
  6. Step 6: Final answer
    x = 1,159.07

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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.