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Finding the Fourth Proportional to 779.84, 1,076.38 and 465.30

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Solution

The fourth proportional to 779.84, 1,076.38 and 465.30 is: 642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.84 : 1,076.38 = 465.30 : x
  2. Step 2: Convert to fraction form
    779.84/1,076.38 = 465.30/x
  3. Step 3: Cross multiply
    779.84x = 1,076.38 × 465.30
  4. Step 4: Simplify right side
    779.84x = 500,839.61
  5. Step 5: Solve for x
    x = 500,839.61/779.84
  6. Step 6: Final answer
    x = 642.23

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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.