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Finding the Fourth Proportional to 719.25, 991.57 and 613.89

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Solution

The fourth proportional to 719.25, 991.57 and 613.89 is: 846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.25 : 991.57 = 613.89 : x
  2. Step 2: Convert to fraction form
    719.25/991.57 = 613.89/x
  3. Step 3: Cross multiply
    719.25x = 991.57 × 613.89
  4. Step 4: Simplify right side
    719.25x = 608,714.91
  5. Step 5: Solve for x
    x = 608,714.91/719.25
  6. Step 6: Final answer
    x = 846.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.