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Finding the Fourth Proportional to 756.21, 1,044.17 and 507.75

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Solution

The fourth proportional to 756.21, 1,044.17 and 507.75 is: 701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.21 : 1,044.17 = 507.75 : x
  2. Step 2: Convert to fraction form
    756.21/1,044.17 = 507.75/x
  3. Step 3: Cross multiply
    756.21x = 1,044.17 × 507.75
  4. Step 4: Simplify right side
    756.21x = 530,177.32
  5. Step 5: Solve for x
    x = 530,177.32/756.21
  6. Step 6: Final answer
    x = 701.10

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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.