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Finding the Fourth Proportional to 706.52, 1,057.66 and 523.06

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Solution

The fourth proportional to 706.52, 1,057.66 and 523.06 is: 783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.52 : 1,057.66 = 523.06 : x
  2. Step 2: Convert to fraction form
    706.52/1,057.66 = 523.06/x
  3. Step 3: Cross multiply
    706.52x = 1,057.66 × 523.06
  4. Step 4: Simplify right side
    706.52x = 553,215.69
  5. Step 5: Solve for x
    x = 553,215.69/706.52
  6. Step 6: Final answer
    x = 783.01

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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.