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Finding the Fourth Proportional to 717.57, 989.19 and 507.06

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Solution

The fourth proportional to 717.57, 989.19 and 507.06 is: 699.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.57 : 989.19 = 507.06 : x
  2. Step 2: Convert to fraction form
    717.57/989.19 = 507.06/x
  3. Step 3: Cross multiply
    717.57x = 989.19 × 507.06
  4. Step 4: Simplify right side
    717.57x = 501,578.68
  5. Step 5: Solve for x
    x = 501,578.68/717.57
  6. Step 6: Final answer
    x = 699.00

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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.