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Finding the Fourth Proportional to 798.84, 1,203.81 and 761.76

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Solution

The fourth proportional to 798.84, 1,203.81 and 761.76 is: 1,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.84 : 1,203.81 = 761.76 : x
  2. Step 2: Convert to fraction form
    798.84/1,203.81 = 761.76/x
  3. Step 3: Cross multiply
    798.84x = 1,203.81 × 761.76
  4. Step 4: Simplify right side
    798.84x = 917,014.31
  5. Step 5: Solve for x
    x = 917,014.31/798.84
  6. Step 6: Final answer
    x = 1,147.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.