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Finding the Fourth Proportional to 816.15, 1,124.49 and 675.48

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Solution

The fourth proportional to 816.15, 1,124.49 and 675.48 is: 930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.15 : 1,124.49 = 675.48 : x
  2. Step 2: Convert to fraction form
    816.15/1,124.49 = 675.48/x
  3. Step 3: Cross multiply
    816.15x = 1,124.49 × 675.48
  4. Step 4: Simplify right side
    816.15x = 759,570.51
  5. Step 5: Solve for x
    x = 759,570.51/816.15
  6. Step 6: Final answer
    x = 930.68

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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.