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Finding the Fourth Proportional to 682.61, 942.17 and 507.65

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Solution

The fourth proportional to 682.61, 942.17 and 507.65 is: 700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.61 : 942.17 = 507.65 : x
  2. Step 2: Convert to fraction form
    682.61/942.17 = 507.65/x
  3. Step 3: Cross multiply
    682.61x = 942.17 × 507.65
  4. Step 4: Simplify right side
    682.61x = 478,285.35
  5. Step 5: Solve for x
    x = 478,285.35/682.61
  6. Step 6: Final answer
    x = 700.68

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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.