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Finding the Fourth Proportional to 1,684.72, 2,527.08 and 697.30

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Solution

The fourth proportional to 1,684.72, 2,527.08 and 697.30 is: 1,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.72 : 2,527.08 = 697.30 : x
  2. Step 2: Convert to fraction form
    1,684.72/2,527.08 = 697.30/x
  3. Step 3: Cross multiply
    1,684.72x = 2,527.08 × 697.30
  4. Step 4: Simplify right side
    1,684.72x = 1,762,132.88
  5. Step 5: Solve for x
    x = 1,762,132.88/1,684.72
  6. Step 6: Final answer
    x = 1,045.95

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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.