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Finding the Fourth Proportional to 936.94, 1,292.98 and 511.60

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Solution

The fourth proportional to 936.94, 1,292.98 and 511.60 is: 706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.94 : 1,292.98 = 511.60 : x
  2. Step 2: Convert to fraction form
    936.94/1,292.98 = 511.60/x
  3. Step 3: Cross multiply
    936.94x = 1,292.98 × 511.60
  4. Step 4: Simplify right side
    936.94x = 661,482.36
  5. Step 5: Solve for x
    x = 661,482.36/936.94
  6. Step 6: Final answer
    x = 706.00

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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.