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Finding the Fourth Proportional to 767.17, 1,057.56 and 556.99

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Solution

The fourth proportional to 767.17, 1,057.56 and 556.99 is: 767.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.17 : 1,057.56 = 556.99 : x
  2. Step 2: Convert to fraction form
    767.17/1,057.56 = 556.99/x
  3. Step 3: Cross multiply
    767.17x = 1,057.56 × 556.99
  4. Step 4: Simplify right side
    767.17x = 589,050.34
  5. Step 5: Solve for x
    x = 589,050.34/767.17
  6. Step 6: Final answer
    x = 767.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.