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Finding the Fourth Proportional to 1,225.80, 1,838.70 and 456.20

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Solution

The fourth proportional to 1,225.80, 1,838.70 and 456.20 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.80 : 1,838.70 = 456.20 : x
  2. Step 2: Convert to fraction form
    1,225.80/1,838.70 = 456.20/x
  3. Step 3: Cross multiply
    1,225.80x = 1,838.70 × 456.20
  4. Step 4: Simplify right side
    1,225.80x = 838,814.94
  5. Step 5: Solve for x
    x = 838,814.94/1,225.80
  6. Step 6: Final answer
    x = 684.30

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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.