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Finding the Fourth Proportional to 784.58, 1,083.20 and 504.92

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Solution

The fourth proportional to 784.58, 1,083.20 and 504.92 is: 697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.58 : 1,083.20 = 504.92 : x
  2. Step 2: Convert to fraction form
    784.58/1,083.20 = 504.92/x
  3. Step 3: Cross multiply
    784.58x = 1,083.20 × 504.92
  4. Step 4: Simplify right side
    784.58x = 546,921.40
  5. Step 5: Solve for x
    x = 546,921.40/784.58
  6. Step 6: Final answer
    x = 697.09

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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.