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Finding the Fourth Proportional to 700.25, 1,049.15 and 452.79

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Solution

The fourth proportional to 700.25, 1,049.15 and 452.79 is: 678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.25 : 1,049.15 = 452.79 : x
  2. Step 2: Convert to fraction form
    700.25/1,049.15 = 452.79/x
  3. Step 3: Cross multiply
    700.25x = 1,049.15 × 452.79
  4. Step 4: Simplify right side
    700.25x = 475,045.76
  5. Step 5: Solve for x
    x = 475,045.76/700.25
  6. Step 6: Final answer
    x = 678.40

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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.