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Finding the Fourth Proportional to 1,225.02, 1,838.02 and 677.14

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Solution

The fourth proportional to 1,225.02, 1,838.02 and 677.14 is: 1,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.02 : 1,838.02 = 677.14 : x
  2. Step 2: Convert to fraction form
    1,225.02/1,838.02 = 677.14/x
  3. Step 3: Cross multiply
    1,225.02x = 1,838.02 × 677.14
  4. Step 4: Simplify right side
    1,225.02x = 1,244,596.86
  5. Step 5: Solve for x
    x = 1,244,596.86/1,225.02
  6. Step 6: Final answer
    x = 1,015.98

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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.