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Finding the Fourth Proportional to 1,223.46, 1,835.10 and 357.84

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Solution

The fourth proportional to 1,223.46, 1,835.10 and 357.84 is: 536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.46 : 1,835.10 = 357.84 : x
  2. Step 2: Convert to fraction form
    1,223.46/1,835.10 = 357.84/x
  3. Step 3: Cross multiply
    1,223.46x = 1,835.10 × 357.84
  4. Step 4: Simplify right side
    1,223.46x = 656,672.18
  5. Step 5: Solve for x
    x = 656,672.18/1,223.46
  6. Step 6: Final answer
    x = 536.73

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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.