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Finding the Fourth Proportional to 700.02, 1,050.75 and 494.82

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Solution

The fourth proportional to 700.02, 1,050.75 and 494.82 is: 742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.02 : 1,050.75 = 494.82 : x
  2. Step 2: Convert to fraction form
    700.02/1,050.75 = 494.82/x
  3. Step 3: Cross multiply
    700.02x = 1,050.75 × 494.82
  4. Step 4: Simplify right side
    700.02x = 519,932.12
  5. Step 5: Solve for x
    x = 519,932.12/700.02
  6. Step 6: Final answer
    x = 742.74

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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.