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Finding the Fourth Proportional to 1,223.04, 1,833.44 and 442.86

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Solution

The fourth proportional to 1,223.04, 1,833.44 and 442.86 is: 663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.04 : 1,833.44 = 442.86 : x
  2. Step 2: Convert to fraction form
    1,223.04/1,833.44 = 442.86/x
  3. Step 3: Cross multiply
    1,223.04x = 1,833.44 × 442.86
  4. Step 4: Simplify right side
    1,223.04x = 811,957.24
  5. Step 5: Solve for x
    x = 811,957.24/1,223.04
  6. Step 6: Final answer
    x = 663.88

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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.