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Finding the Fourth Proportional to 936.83, 1,292.36 and 740.00

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Solution

The fourth proportional to 936.83, 1,292.36 and 740.00 is: 1,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.83 : 1,292.36 = 740.00 : x
  2. Step 2: Convert to fraction form
    936.83/1,292.36 = 740.00/x
  3. Step 3: Cross multiply
    936.83x = 1,292.36 × 740.00
  4. Step 4: Simplify right side
    936.83x = 956,345.93
  5. Step 5: Solve for x
    x = 956,345.93/936.83
  6. Step 6: Final answer
    x = 1,020.83

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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.