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Finding the Fourth Proportional to 772.16, 1,148.65 and 764.33

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Solution

The fourth proportional to 772.16, 1,148.65 and 764.33 is: 1,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.16 : 1,148.65 = 764.33 : x
  2. Step 2: Convert to fraction form
    772.16/1,148.65 = 764.33/x
  3. Step 3: Cross multiply
    772.16x = 1,148.65 × 764.33
  4. Step 4: Simplify right side
    772.16x = 877,947.65
  5. Step 5: Solve for x
    x = 877,947.65/772.16
  6. Step 6: Final answer
    x = 1,137.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.