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Finding the Fourth Proportional to 1,205.42, 1,810.56 and 719.42

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Solution

The fourth proportional to 1,205.42, 1,810.56 and 719.42 is: 1,080.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.42 : 1,810.56 = 719.42 : x
  2. Step 2: Convert to fraction form
    1,205.42/1,810.56 = 719.42/x
  3. Step 3: Cross multiply
    1,205.42x = 1,810.56 × 719.42
  4. Step 4: Simplify right side
    1,205.42x = 1,302,553.08
  5. Step 5: Solve for x
    x = 1,302,553.08/1,205.42
  6. Step 6: Final answer
    x = 1,080.58

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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.