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Finding the Fourth Proportional to 798.84, 1,102.14 and 488.16

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Solution

The fourth proportional to 798.84, 1,102.14 and 488.16 is: 673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.84 : 1,102.14 = 488.16 : x
  2. Step 2: Convert to fraction form
    798.84/1,102.14 = 488.16/x
  3. Step 3: Cross multiply
    798.84x = 1,102.14 × 488.16
  4. Step 4: Simplify right side
    798.84x = 538,020.66
  5. Step 5: Solve for x
    x = 538,020.66/798.84
  6. Step 6: Final answer
    x = 673.50

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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.