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Finding the Fourth Proportional to 1,205.32, 1,807.98 and 772.76

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Solution

The fourth proportional to 1,205.32, 1,807.98 and 772.76 is: 1,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.32 : 1,807.98 = 772.76 : x
  2. Step 2: Convert to fraction form
    1,205.32/1,807.98 = 772.76/x
  3. Step 3: Cross multiply
    1,205.32x = 1,807.98 × 772.76
  4. Step 4: Simplify right side
    1,205.32x = 1,397,134.62
  5. Step 5: Solve for x
    x = 1,397,134.62/1,205.32
  6. Step 6: Final answer
    x = 1,159.14

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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.