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Finding the Fourth Proportional to 1,542.45, 2,312.96 and 446.56

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Solution

The fourth proportional to 1,542.45, 2,312.96 and 446.56 is: 669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.45 : 2,312.96 = 446.56 : x
  2. Step 2: Convert to fraction form
    1,542.45/2,312.96 = 446.56/x
  3. Step 3: Cross multiply
    1,542.45x = 2,312.96 × 446.56
  4. Step 4: Simplify right side
    1,542.45x = 1,032,870.75
  5. Step 5: Solve for x
    x = 1,032,870.75/1,542.45
  6. Step 6: Final answer
    x = 669.63

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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.