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Finding the Fourth Proportional to 717.10, 989.62 and 507.65

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Solution

The fourth proportional to 717.10, 989.62 and 507.65 is: 700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.10 : 989.62 = 507.65 : x
  2. Step 2: Convert to fraction form
    717.10/989.62 = 507.65/x
  3. Step 3: Cross multiply
    717.10x = 989.62 × 507.65
  4. Step 4: Simplify right side
    717.10x = 502,380.59
  5. Step 5: Solve for x
    x = 502,380.59/717.10
  6. Step 6: Final answer
    x = 700.57

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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.