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Finding the Fourth Proportional to 1,684.98, 2,527.61 and 452.36

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Solution

The fourth proportional to 1,684.98, 2,527.61 and 452.36 is: 678.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.98 : 2,527.61 = 452.36 : x
  2. Step 2: Convert to fraction form
    1,684.98/2,527.61 = 452.36/x
  3. Step 3: Cross multiply
    1,684.98x = 2,527.61 × 452.36
  4. Step 4: Simplify right side
    1,684.98x = 1,143,393.72
  5. Step 5: Solve for x
    x = 1,143,393.72/1,684.98
  6. Step 6: Final answer
    x = 678.58

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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.