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Finding the Fourth Proportional to 1,542.80, 2,313.63 and 446.87

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Solution

The fourth proportional to 1,542.80, 2,313.63 and 446.87 is: 670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.80 : 2,313.63 = 446.87 : x
  2. Step 2: Convert to fraction form
    1,542.80/2,313.63 = 446.87/x
  3. Step 3: Cross multiply
    1,542.80x = 2,313.63 × 446.87
  4. Step 4: Simplify right side
    1,542.80x = 1,033,880.27
  5. Step 5: Solve for x
    x = 1,033,880.27/1,542.80
  6. Step 6: Final answer
    x = 670.13

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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.