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Finding the Fourth Proportional to 1,223.91, 1,835.91 and 358.23

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Solution

The fourth proportional to 1,223.91, 1,835.91 and 358.23 is: 537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.91 : 1,835.91 = 358.23 : x
  2. Step 2: Convert to fraction form
    1,223.91/1,835.91 = 358.23/x
  3. Step 3: Cross multiply
    1,223.91x = 1,835.91 × 358.23
  4. Step 4: Simplify right side
    1,223.91x = 657,678.04
  5. Step 5: Solve for x
    x = 657,678.04/1,223.91
  6. Step 6: Final answer
    x = 537.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.