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Finding the Fourth Proportional to 772.02, 1,064.94 and 506.37

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Solution

The fourth proportional to 772.02, 1,064.94 and 506.37 is: 698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,064.94 = 506.37 : x
  2. Step 2: Convert to fraction form
    772.02/1,064.94 = 506.37/x
  3. Step 3: Cross multiply
    772.02x = 1,064.94 × 506.37
  4. Step 4: Simplify right side
    772.02x = 539,253.67
  5. Step 5: Solve for x
    x = 539,253.67/772.02
  6. Step 6: Final answer
    x = 698.50

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1.5x scale

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.