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Finding the Fourth Proportional to 719.08, 991.00 and 561.47

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Solution

The fourth proportional to 719.08, 991.00 and 561.47 is: 773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.08 : 991.00 = 561.47 : x
  2. Step 2: Convert to fraction form
    719.08/991.00 = 561.47/x
  3. Step 3: Cross multiply
    719.08x = 991.00 × 561.47
  4. Step 4: Simplify right side
    719.08x = 556,412.52
  5. Step 5: Solve for x
    x = 556,412.52/719.08
  6. Step 6: Final answer
    x = 773.79

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