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Finding the Fourth Proportional to 772.22, 1,064.53 and 509.78

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Solution

The fourth proportional to 772.22, 1,064.53 and 509.78 is: 702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.22 : 1,064.53 = 509.78 : x
  2. Step 2: Convert to fraction form
    772.22/1,064.53 = 509.78/x
  3. Step 3: Cross multiply
    772.22x = 1,064.53 × 509.78
  4. Step 4: Simplify right side
    772.22x = 542,676.10
  5. Step 5: Solve for x
    x = 542,676.10/772.22
  6. Step 6: Final answer
    x = 702.75

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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.