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Finding the Fourth Proportional to 936.51, 1,292.51 and 563.70

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Solution

The fourth proportional to 936.51, 1,292.51 and 563.70 is: 777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.51 : 1,292.51 = 563.70 : x
  2. Step 2: Convert to fraction form
    936.51/1,292.51 = 563.70/x
  3. Step 3: Cross multiply
    936.51x = 1,292.51 × 563.70
  4. Step 4: Simplify right side
    936.51x = 728,587.89
  5. Step 5: Solve for x
    x = 728,587.89/936.51
  6. Step 6: Final answer
    x = 777.98

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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.