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Finding the Fourth Proportional to 1,684.76, 2,527.05 and 452.15

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Solution

The fourth proportional to 1,684.76, 2,527.05 and 452.15 is: 678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.76 : 2,527.05 = 452.15 : x
  2. Step 2: Convert to fraction form
    1,684.76/2,527.05 = 452.15/x
  3. Step 3: Cross multiply
    1,684.76x = 2,527.05 × 452.15
  4. Step 4: Simplify right side
    1,684.76x = 1,142,605.66
  5. Step 5: Solve for x
    x = 1,142,605.66/1,684.76
  6. Step 6: Final answer
    x = 678.20

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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.