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Finding the Fourth Proportional to 1,455.41, 2,184.62 and 725.52

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Solution

The fourth proportional to 1,455.41, 2,184.62 and 725.52 is: 1,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.41 : 2,184.62 = 725.52 : x
  2. Step 2: Convert to fraction form
    1,455.41/2,184.62 = 725.52/x
  3. Step 3: Cross multiply
    1,455.41x = 2,184.62 × 725.52
  4. Step 4: Simplify right side
    1,455.41x = 1,584,981.87
  5. Step 5: Solve for x
    x = 1,584,981.87/1,455.41
  6. Step 6: Final answer
    x = 1,089.03

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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.