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Finding the Fourth Proportional to 682.63, 940.01 and 589.07

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Solution

The fourth proportional to 682.63, 940.01 and 589.07 is: 811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.63 : 940.01 = 589.07 : x
  2. Step 2: Convert to fraction form
    682.63/940.01 = 589.07/x
  3. Step 3: Cross multiply
    682.63x = 940.01 × 589.07
  4. Step 4: Simplify right side
    682.63x = 553,731.10
  5. Step 5: Solve for x
    x = 553,731.10/682.63
  6. Step 6: Final answer
    x = 811.18

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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.