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Finding the Fourth Proportional to 723.50, 1,083.62 and 508.04

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Solution

The fourth proportional to 723.50, 1,083.62 and 508.04 is: 760.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.50 : 1,083.62 = 508.04 : x
  2. Step 2: Convert to fraction form
    723.50/1,083.62 = 508.04/x
  3. Step 3: Cross multiply
    723.50x = 1,083.62 × 508.04
  4. Step 4: Simplify right side
    723.50x = 550,514.35
  5. Step 5: Solve for x
    x = 550,514.35/723.50
  6. Step 6: Final answer
    x = 760.91

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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.