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Finding the Fourth Proportional to 1,118.02, 1,677.84 and 772.15

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Solution

The fourth proportional to 1,118.02, 1,677.84 and 772.15 is: 1,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.02 : 1,677.84 = 772.15 : x
  2. Step 2: Convert to fraction form
    1,118.02/1,677.84 = 772.15/x
  3. Step 3: Cross multiply
    1,118.02x = 1,677.84 × 772.15
  4. Step 4: Simplify right side
    1,118.02x = 1,295,544.16
  5. Step 5: Solve for x
    x = 1,295,544.16/1,118.02
  6. Step 6: Final answer
    x = 1,158.78

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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.