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Finding the Fourth Proportional to 756.96, 1,044.81 and 508.29

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Solution

The fourth proportional to 756.96, 1,044.81 and 508.29 is: 701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.96 : 1,044.81 = 508.29 : x
  2. Step 2: Convert to fraction form
    756.96/1,044.81 = 508.29/x
  3. Step 3: Cross multiply
    756.96x = 1,044.81 × 508.29
  4. Step 4: Simplify right side
    756.96x = 531,066.47
  5. Step 5: Solve for x
    x = 531,066.47/756.96
  6. Step 6: Final answer
    x = 701.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.