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Finding the Fourth Proportional to 719.82, 994.68 and 533.52

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Solution

The fourth proportional to 719.82, 994.68 and 533.52 is: 737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.82 : 994.68 = 533.52 : x
  2. Step 2: Convert to fraction form
    719.82/994.68 = 533.52/x
  3. Step 3: Cross multiply
    719.82x = 994.68 × 533.52
  4. Step 4: Simplify right side
    719.82x = 530,681.67
  5. Step 5: Solve for x
    x = 530,681.67/719.82
  6. Step 6: Final answer
    x = 737.24

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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.