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Finding the Fourth Proportional to 772.48, 1,064.64 and 673.12

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Solution

The fourth proportional to 772.48, 1,064.64 and 673.12 is: 927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.48 : 1,064.64 = 673.12 : x
  2. Step 2: Convert to fraction form
    772.48/1,064.64 = 673.12/x
  3. Step 3: Cross multiply
    772.48x = 1,064.64 × 673.12
  4. Step 4: Simplify right side
    772.48x = 716,630.48
  5. Step 5: Solve for x
    x = 716,630.48/772.48
  6. Step 6: Final answer
    x = 927.70

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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.