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Finding the Fourth Proportional to 785.63, 1,182.71 and 706.25

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Solution

The fourth proportional to 785.63, 1,182.71 and 706.25 is: 1,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.63 : 1,182.71 = 706.25 : x
  2. Step 2: Convert to fraction form
    785.63/1,182.71 = 706.25/x
  3. Step 3: Cross multiply
    785.63x = 1,182.71 × 706.25
  4. Step 4: Simplify right side
    785.63x = 835,288.94
  5. Step 5: Solve for x
    x = 835,288.94/785.63
  6. Step 6: Final answer
    x = 1,063.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.