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Finding the Fourth Proportional to 1,225.50, 1,838.28 and 313.50

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Solution

The fourth proportional to 1,225.50, 1,838.28 and 313.50 is: 470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.50 : 1,838.28 = 313.50 : x
  2. Step 2: Convert to fraction form
    1,225.50/1,838.28 = 313.50/x
  3. Step 3: Cross multiply
    1,225.50x = 1,838.28 × 313.50
  4. Step 4: Simplify right side
    1,225.50x = 576,300.78
  5. Step 5: Solve for x
    x = 576,300.78/1,225.50
  6. Step 6: Final answer
    x = 470.26

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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.