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Finding the Fourth Proportional to 1,144.26, 1,714.74 and 623.82

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Solution

The fourth proportional to 1,144.26, 1,714.74 and 623.82 is: 934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.26 : 1,714.74 = 623.82 : x
  2. Step 2: Convert to fraction form
    1,144.26/1,714.74 = 623.82/x
  3. Step 3: Cross multiply
    1,144.26x = 1,714.74 × 623.82
  4. Step 4: Simplify right side
    1,144.26x = 1,069,689.11
  5. Step 5: Solve for x
    x = 1,069,689.11/1,144.26
  6. Step 6: Final answer
    x = 934.83

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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.