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Finding the Fourth Proportional to 1,658.86, 2,487.27 and 563.14

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Solution

The fourth proportional to 1,658.86, 2,487.27 and 563.14 is: 844.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.86 : 2,487.27 = 563.14 : x
  2. Step 2: Convert to fraction form
    1,658.86/2,487.27 = 563.14/x
  3. Step 3: Cross multiply
    1,658.86x = 2,487.27 × 563.14
  4. Step 4: Simplify right side
    1,658.86x = 1,400,681.23
  5. Step 5: Solve for x
    x = 1,400,681.23/1,658.86
  6. Step 6: Final answer
    x = 844.36

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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.