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Finding the Fourth Proportional to 1,080.89, 1,623.54 and 953.77

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Solution

The fourth proportional to 1,080.89, 1,623.54 and 953.77 is: 1,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.89 : 1,623.54 = 953.77 : x
  2. Step 2: Convert to fraction form
    1,080.89/1,623.54 = 953.77/x
  3. Step 3: Cross multiply
    1,080.89x = 1,623.54 × 953.77
  4. Step 4: Simplify right side
    1,080.89x = 1,548,478.98
  5. Step 5: Solve for x
    x = 1,548,478.98/1,080.89
  6. Step 6: Final answer
    x = 1,432.60

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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.