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Finding the Fourth Proportional to 1,401.48, 2,102.45 and 427.50

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Solution

The fourth proportional to 1,401.48, 2,102.45 and 427.50 is: 641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.48 : 2,102.45 = 427.50 : x
  2. Step 2: Convert to fraction form
    1,401.48/2,102.45 = 427.50/x
  3. Step 3: Cross multiply
    1,401.48x = 2,102.45 × 427.50
  4. Step 4: Simplify right side
    1,401.48x = 898,795.24
  5. Step 5: Solve for x
    x = 898,795.24/1,401.48
  6. Step 6: Final answer
    x = 641.32

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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.