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Finding the Fourth Proportional to 795.94, 1,098.69 and 648.32

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Solution

The fourth proportional to 795.94, 1,098.69 and 648.32 is: 894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.94 : 1,098.69 = 648.32 : x
  2. Step 2: Convert to fraction form
    795.94/1,098.69 = 648.32/x
  3. Step 3: Cross multiply
    795.94x = 1,098.69 × 648.32
  4. Step 4: Simplify right side
    795.94x = 712,302.78
  5. Step 5: Solve for x
    x = 712,302.78/795.94
  6. Step 6: Final answer
    x = 894.92

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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.