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Finding the Fourth Proportional to 767.61, 1,057.05 and 570.78

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Solution

The fourth proportional to 767.61, 1,057.05 and 570.78 is: 786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.61 : 1,057.05 = 570.78 : x
  2. Step 2: Convert to fraction form
    767.61/1,057.05 = 570.78/x
  3. Step 3: Cross multiply
    767.61x = 1,057.05 × 570.78
  4. Step 4: Simplify right side
    767.61x = 603,343.00
  5. Step 5: Solve for x
    x = 603,343.00/767.61
  6. Step 6: Final answer
    x = 786.00

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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.