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Finding the Fourth Proportional to 1,156.30, 1,732.93 and 863.69

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Solution

The fourth proportional to 1,156.30, 1,732.93 and 863.69 is: 1,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.30 : 1,732.93 = 863.69 : x
  2. Step 2: Convert to fraction form
    1,156.30/1,732.93 = 863.69/x
  3. Step 3: Cross multiply
    1,156.30x = 1,732.93 × 863.69
  4. Step 4: Simplify right side
    1,156.30x = 1,496,703.49
  5. Step 5: Solve for x
    x = 1,496,703.49/1,156.30
  6. Step 6: Final answer
    x = 1,294.39

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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.