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Finding the Fourth Proportional to 700.62, 1,049.97 and 315.06

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Solution

The fourth proportional to 700.62, 1,049.97 and 315.06 is: 472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.62 : 1,049.97 = 315.06 : x
  2. Step 2: Convert to fraction form
    700.62/1,049.97 = 315.06/x
  3. Step 3: Cross multiply
    700.62x = 1,049.97 × 315.06
  4. Step 4: Simplify right side
    700.62x = 330,803.55
  5. Step 5: Solve for x
    x = 330,803.55/700.62
  6. Step 6: Final answer
    x = 472.16

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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.