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Finding the Fourth Proportional to 913.68, 1,260.32 and 664.29

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Solution

The fourth proportional to 913.68, 1,260.32 and 664.29 is: 916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.68 : 1,260.32 = 664.29 : x
  2. Step 2: Convert to fraction form
    913.68/1,260.32 = 664.29/x
  3. Step 3: Cross multiply
    913.68x = 1,260.32 × 664.29
  4. Step 4: Simplify right side
    913.68x = 837,214.65
  5. Step 5: Solve for x
    x = 837,214.65/913.68
  6. Step 6: Final answer
    x = 916.31

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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.