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Finding the Fourth Proportional to 570.56, 786.80 and 512.45

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Solution

The fourth proportional to 570.56, 786.80 and 512.45 is: 706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.56 : 786.80 = 512.45 : x
  2. Step 2: Convert to fraction form
    570.56/786.80 = 512.45/x
  3. Step 3: Cross multiply
    570.56x = 786.80 × 512.45
  4. Step 4: Simplify right side
    570.56x = 403,189.16
  5. Step 5: Solve for x
    x = 403,189.16/570.56
  6. Step 6: Final answer
    x = 706.66

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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.