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Finding the Fourth Proportional to 1,658.49, 2,487.72 and 563.63

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Solution

The fourth proportional to 1,658.49, 2,487.72 and 563.63 is: 845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.49 : 2,487.72 = 563.63 : x
  2. Step 2: Convert to fraction form
    1,658.49/2,487.72 = 563.63/x
  3. Step 3: Cross multiply
    1,658.49x = 2,487.72 × 563.63
  4. Step 4: Simplify right side
    1,658.49x = 1,402,141.19
  5. Step 5: Solve for x
    x = 1,402,141.19/1,658.49
  6. Step 6: Final answer
    x = 845.43

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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.