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Finding the Fourth Proportional to 1,115.57, 1,672.75 and 465.82

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Solution

The fourth proportional to 1,115.57, 1,672.75 and 465.82 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.57 : 1,672.75 = 465.82 : x
  2. Step 2: Convert to fraction form
    1,115.57/1,672.75 = 465.82/x
  3. Step 3: Cross multiply
    1,115.57x = 1,672.75 × 465.82
  4. Step 4: Simplify right side
    1,115.57x = 779,196.81
  5. Step 5: Solve for x
    x = 779,196.81/1,115.57
  6. Step 6: Final answer
    x = 698.47

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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.