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Finding the Fourth Proportional to 1,688.99, 2,531.75 and 648.71

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Solution

The fourth proportional to 1,688.99, 2,531.75 and 648.71 is: 972.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.99 : 2,531.75 = 648.71 : x
  2. Step 2: Convert to fraction form
    1,688.99/2,531.75 = 648.71/x
  3. Step 3: Cross multiply
    1,688.99x = 2,531.75 × 648.71
  4. Step 4: Simplify right side
    1,688.99x = 1,642,371.54
  5. Step 5: Solve for x
    x = 1,642,371.54/1,688.99
  6. Step 6: Final answer
    x = 972.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.