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Finding the Fourth Proportional to 552.78, 764.34 and 526.92

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Solution

The fourth proportional to 552.78, 764.34 and 526.92 is: 728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.78 : 764.34 = 526.92 : x
  2. Step 2: Convert to fraction form
    552.78/764.34 = 526.92/x
  3. Step 3: Cross multiply
    552.78x = 764.34 × 526.92
  4. Step 4: Simplify right side
    552.78x = 402,746.03
  5. Step 5: Solve for x
    x = 402,746.03/552.78
  6. Step 6: Final answer
    x = 728.58

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