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Finding the Fourth Proportional to 556.56, 766.53 and 522.54

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Solution

The fourth proportional to 556.56, 766.53 and 522.54 is: 719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 766.53 = 522.54 : x
  2. Step 2: Convert to fraction form
    556.56/766.53 = 522.54/x
  3. Step 3: Cross multiply
    556.56x = 766.53 × 522.54
  4. Step 4: Simplify right side
    556.56x = 400,542.59
  5. Step 5: Solve for x
    x = 400,542.59/556.56
  6. Step 6: Final answer
    x = 719.68

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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.