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Finding the Fourth Proportional to 706.54, 1,057.61 and 381.10

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Solution

The fourth proportional to 706.54, 1,057.61 and 381.10 is: 570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.54 : 1,057.61 = 381.10 : x
  2. Step 2: Convert to fraction form
    706.54/1,057.61 = 381.10/x
  3. Step 3: Cross multiply
    706.54x = 1,057.61 × 381.10
  4. Step 4: Simplify right side
    706.54x = 403,055.17
  5. Step 5: Solve for x
    x = 403,055.17/706.54
  6. Step 6: Final answer
    x = 570.46

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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.