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Finding the Fourth Proportional to 772.48, 1,065.87 and 606.70

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Solution

The fourth proportional to 772.48, 1,065.87 and 606.70 is: 837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.48 : 1,065.87 = 606.70 : x
  2. Step 2: Convert to fraction form
    772.48/1,065.87 = 606.70/x
  3. Step 3: Cross multiply
    772.48x = 1,065.87 × 606.70
  4. Step 4: Simplify right side
    772.48x = 646,663.33
  5. Step 5: Solve for x
    x = 646,663.33/772.48
  6. Step 6: Final answer
    x = 837.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.