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Finding the Fourth Proportional to 1,223.94, 1,835.91 and 358.25

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Solution

The fourth proportional to 1,223.94, 1,835.91 and 358.25 is: 537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.94 : 1,835.91 = 358.25 : x
  2. Step 2: Convert to fraction form
    1,223.94/1,835.91 = 358.25/x
  3. Step 3: Cross multiply
    1,223.94x = 1,835.91 × 358.25
  4. Step 4: Simplify right side
    1,223.94x = 657,712.97
  5. Step 5: Solve for x
    x = 657,712.97/1,223.94
  6. Step 6: Final answer
    x = 537.37

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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.