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Finding the Fourth Proportional to 719.01, 1,076.49 and 522.72

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Solution

The fourth proportional to 719.01, 1,076.49 and 522.72 is: 782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.01 : 1,076.49 = 522.72 : x
  2. Step 2: Convert to fraction form
    719.01/1,076.49 = 522.72/x
  3. Step 3: Cross multiply
    719.01x = 1,076.49 × 522.72
  4. Step 4: Simplify right side
    719.01x = 562,702.85
  5. Step 5: Solve for x
    x = 562,702.85/719.01
  6. Step 6: Final answer
    x = 782.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.