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Finding the Fourth Proportional to 1,332.24, 1,838.73 and 835.31

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Solution

The fourth proportional to 1,332.24, 1,838.73 and 835.31 is: 1,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.24 : 1,838.73 = 835.31 : x
  2. Step 2: Convert to fraction form
    1,332.24/1,838.73 = 835.31/x
  3. Step 3: Cross multiply
    1,332.24x = 1,838.73 × 835.31
  4. Step 4: Simplify right side
    1,332.24x = 1,535,896.19
  5. Step 5: Solve for x
    x = 1,535,896.19/1,332.24
  6. Step 6: Final answer
    x = 1,152.87

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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.