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Finding the Fourth Proportional to 719.24, 1,078.46 and 572.57

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Solution

The fourth proportional to 719.24, 1,078.46 and 572.57 is: 858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.24 : 1,078.46 = 572.57 : x
  2. Step 2: Convert to fraction form
    719.24/1,078.46 = 572.57/x
  3. Step 3: Cross multiply
    719.24x = 1,078.46 × 572.57
  4. Step 4: Simplify right side
    719.24x = 617,495.00
  5. Step 5: Solve for x
    x = 617,495.00/719.24
  6. Step 6: Final answer
    x = 858.54

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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.