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Finding the Fourth Proportional to 719.69, 993.47 and 509.90

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Solution

The fourth proportional to 719.69, 993.47 and 509.90 is: 703.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.69 : 993.47 = 509.90 : x
  2. Step 2: Convert to fraction form
    719.69/993.47 = 509.90/x
  3. Step 3: Cross multiply
    719.69x = 993.47 × 509.90
  4. Step 4: Simplify right side
    719.69x = 506,562.84
  5. Step 5: Solve for x
    x = 506,562.84/719.69
  6. Step 6: Final answer
    x = 703.87

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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.