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Finding the Fourth Proportional to 682.68, 940.86 and 508.08

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Solution

The fourth proportional to 682.68, 940.86 and 508.08 is: 700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.68 : 940.86 = 508.08 : x
  2. Step 2: Convert to fraction form
    682.68/940.86 = 508.08/x
  3. Step 3: Cross multiply
    682.68x = 940.86 × 508.08
  4. Step 4: Simplify right side
    682.68x = 478,032.15
  5. Step 5: Solve for x
    x = 478,032.15/682.68
  6. Step 6: Final answer
    x = 700.23

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