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Finding the Fourth Proportional to 701.84, 1,051.80 and 519.92

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Solution

The fourth proportional to 701.84, 1,051.80 and 519.92 is: 779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.84 : 1,051.80 = 519.92 : x
  2. Step 2: Convert to fraction form
    701.84/1,051.80 = 519.92/x
  3. Step 3: Cross multiply
    701.84x = 1,051.80 × 519.92
  4. Step 4: Simplify right side
    701.84x = 546,851.86
  5. Step 5: Solve for x
    x = 546,851.86/701.84
  6. Step 6: Final answer
    x = 779.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.