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Finding the Fourth Proportional to 1,577.52, 2,366.01 and 423

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Solution

The fourth proportional to 1,577.52, 2,366.01 and 423 is: 634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.52 : 2,366.01 = 423 : x
  2. Step 2: Convert to fraction form
    1,577.52/2,366.01 = 423/x
  3. Step 3: Cross multiply
    1,577.52x = 2,366.01 × 423
  4. Step 4: Simplify right side
    1,577.52x = 1,000,822.23
  5. Step 5: Solve for x
    x = 1,000,822.23/1,577.52
  6. Step 6: Final answer
    x = 634.43

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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.