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Finding the Fourth Proportional to 1,225.63, 1,838.75 and 446.06

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Solution

The fourth proportional to 1,225.63, 1,838.75 and 446.06 is: 669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.63 : 1,838.75 = 446.06 : x
  2. Step 2: Convert to fraction form
    1,225.63/1,838.75 = 446.06/x
  3. Step 3: Cross multiply
    1,225.63x = 1,838.75 × 446.06
  4. Step 4: Simplify right side
    1,225.63x = 820,187.36
  5. Step 5: Solve for x
    x = 820,187.36/1,225.63
  6. Step 6: Final answer
    x = 669.20

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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.