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Finding the Fourth Proportional to 1,688.71, 2,531.33 and 648.43

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Solution

The fourth proportional to 1,688.71, 2,531.33 and 648.43 is: 971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.71 : 2,531.33 = 648.43 : x
  2. Step 2: Convert to fraction form
    1,688.71/2,531.33 = 648.43/x
  3. Step 3: Cross multiply
    1,688.71x = 2,531.33 × 648.43
  4. Step 4: Simplify right side
    1,688.71x = 1,641,384.94
  5. Step 5: Solve for x
    x = 1,641,384.94/1,688.71
  6. Step 6: Final answer
    x = 971.98

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Why These Related Problems?

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