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Finding the Fourth Proportional to 570.78, 856.17 and 513.54

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Solution

The fourth proportional to 570.78, 856.17 and 513.54 is: 770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.78 : 856.17 = 513.54 : x
  2. Step 2: Convert to fraction form
    570.78/856.17 = 513.54/x
  3. Step 3: Cross multiply
    570.78x = 856.17 × 513.54
  4. Step 4: Simplify right side
    570.78x = 439,677.54
  5. Step 5: Solve for x
    x = 439,677.54/570.78
  6. Step 6: Final answer
    x = 770.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.