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Finding the Fourth Proportional to 556.56, 766.86 and 507.54

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Solution

The fourth proportional to 556.56, 766.86 and 507.54 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.56 : 766.86 = 507.54 : x
  2. Step 2: Convert to fraction form
    556.56/766.86 = 507.54/x
  3. Step 3: Cross multiply
    556.56x = 766.86 × 507.54
  4. Step 4: Simplify right side
    556.56x = 389,212.12
  5. Step 5: Solve for x
    x = 389,212.12/556.56
  6. Step 6: Final answer
    x = 699.32

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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.