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Finding the Fourth Proportional to 719.87, 993.53 and 458.65

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Solution

The fourth proportional to 719.87, 993.53 and 458.65 is: 633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.87 : 993.53 = 458.65 : x
  2. Step 2: Convert to fraction form
    719.87/993.53 = 458.65/x
  3. Step 3: Cross multiply
    719.87x = 993.53 × 458.65
  4. Step 4: Simplify right side
    719.87x = 455,682.53
  5. Step 5: Solve for x
    x = 455,682.53/719.87
  6. Step 6: Final answer
    x = 633.01

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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.