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Finding the Fourth Proportional to 1,401.74, 2,102.88 and 427.99

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Solution

The fourth proportional to 1,401.74, 2,102.88 and 427.99 is: 642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.74 : 2,102.88 = 427.99 : x
  2. Step 2: Convert to fraction form
    1,401.74/2,102.88 = 427.99/x
  3. Step 3: Cross multiply
    1,401.74x = 2,102.88 × 427.99
  4. Step 4: Simplify right side
    1,401.74x = 900,001.10
  5. Step 5: Solve for x
    x = 900,001.10/1,401.74
  6. Step 6: Final answer
    x = 642.06

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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.