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Finding the Fourth Proportional to 1,225.23, 1,838.88 and 532.45

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Solution

The fourth proportional to 1,225.23, 1,838.88 and 532.45 is: 799.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.23 : 1,838.88 = 532.45 : x
  2. Step 2: Convert to fraction form
    1,225.23/1,838.88 = 532.45/x
  3. Step 3: Cross multiply
    1,225.23x = 1,838.88 × 532.45
  4. Step 4: Simplify right side
    1,225.23x = 979,107.29
  5. Step 5: Solve for x
    x = 979,107.29/1,225.23
  6. Step 6: Final answer
    x = 799.12

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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.