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Finding the Fourth Proportional to 1,420, 2,131.04 and 508

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Solution

The fourth proportional to 1,420, 2,131.04 and 508 is: 762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420 : 2,131.04 = 508 : x
  2. Step 2: Convert to fraction form
    1,420/2,131.04 = 508/x
  3. Step 3: Cross multiply
    1,420x = 2,131.04 × 508
  4. Step 4: Simplify right side
    1,420x = 1,082,568.32
  5. Step 5: Solve for x
    x = 1,082,568.32/1,420
  6. Step 6: Final answer
    x = 762.37

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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.