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Finding the Fourth Proportional to 570.18, 786.87 and 537.78

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Solution

The fourth proportional to 570.18, 786.87 and 537.78 is: 742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.18 : 786.87 = 537.78 : x
  2. Step 2: Convert to fraction form
    570.18/786.87 = 537.78/x
  3. Step 3: Cross multiply
    570.18x = 786.87 × 537.78
  4. Step 4: Simplify right side
    570.18x = 423,162.95
  5. Step 5: Solve for x
    x = 423,162.95/570.18
  6. Step 6: Final answer
    x = 742.16

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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.