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Finding the Fourth Proportional to 936.40, 1,292.70 and 563.68

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Solution

The fourth proportional to 936.40, 1,292.70 and 563.68 is: 778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.40 : 1,292.70 = 563.68 : x
  2. Step 2: Convert to fraction form
    936.40/1,292.70 = 563.68/x
  3. Step 3: Cross multiply
    936.40x = 1,292.70 × 563.68
  4. Step 4: Simplify right side
    936.40x = 728,669.14
  5. Step 5: Solve for x
    x = 728,669.14/936.40
  6. Step 6: Final answer
    x = 778.16

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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.