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Finding the Fourth Proportional to 767.56, 1,155.56 and 525.64

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Solution

The fourth proportional to 767.56, 1,155.56 and 525.64 is: 791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.56 : 1,155.56 = 525.64 : x
  2. Step 2: Convert to fraction form
    767.56/1,155.56 = 525.64/x
  3. Step 3: Cross multiply
    767.56x = 1,155.56 × 525.64
  4. Step 4: Simplify right side
    767.56x = 607,408.56
  5. Step 5: Solve for x
    x = 607,408.56/767.56
  6. Step 6: Final answer
    x = 791.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.