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Finding the Fourth Proportional to 1,117.66, 1,674.28 and 531.82

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Solution

The fourth proportional to 1,117.66, 1,674.28 and 531.82 is: 796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.66 : 1,674.28 = 531.82 : x
  2. Step 2: Convert to fraction form
    1,117.66/1,674.28 = 531.82/x
  3. Step 3: Cross multiply
    1,117.66x = 1,674.28 × 531.82
  4. Step 4: Simplify right side
    1,117.66x = 890,415.59
  5. Step 5: Solve for x
    x = 890,415.59/1,117.66
  6. Step 6: Final answer
    x = 796.68

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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.