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Finding the Fourth Proportional to 707.66, 1,057.17 and 563.54

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Solution

The fourth proportional to 707.66, 1,057.17 and 563.54 is: 841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.66 : 1,057.17 = 563.54 : x
  2. Step 2: Convert to fraction form
    707.66/1,057.17 = 563.54/x
  3. Step 3: Cross multiply
    707.66x = 1,057.17 × 563.54
  4. Step 4: Simplify right side
    707.66x = 595,754.76
  5. Step 5: Solve for x
    x = 595,754.76/707.66
  6. Step 6: Final answer
    x = 841.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.