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Finding the Fourth Proportional to 719.22, 1,076.59 and 554.27

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Solution

The fourth proportional to 719.22, 1,076.59 and 554.27 is: 829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.22 : 1,076.59 = 554.27 : x
  2. Step 2: Convert to fraction form
    719.22/1,076.59 = 554.27/x
  3. Step 3: Cross multiply
    719.22x = 1,076.59 × 554.27
  4. Step 4: Simplify right side
    719.22x = 596,720.89
  5. Step 5: Solve for x
    x = 596,720.89/719.22
  6. Step 6: Final answer
    x = 829.68

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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.