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Finding the Fourth Proportional to 699.83, 1,050.65 and 494.49

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Solution

The fourth proportional to 699.83, 1,050.65 and 494.49 is: 742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.83 : 1,050.65 = 494.49 : x
  2. Step 2: Convert to fraction form
    699.83/1,050.65 = 494.49/x
  3. Step 3: Cross multiply
    699.83x = 1,050.65 × 494.49
  4. Step 4: Simplify right side
    699.83x = 519,533.45
  5. Step 5: Solve for x
    x = 519,533.45/699.83
  6. Step 6: Final answer
    x = 742.38

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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.