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Finding the Fourth Proportional to 719.67, 993.06 and 424.94

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Solution

The fourth proportional to 719.67, 993.06 and 424.94 is: 586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.67 : 993.06 = 424.94 : x
  2. Step 2: Convert to fraction form
    719.67/993.06 = 424.94/x
  3. Step 3: Cross multiply
    719.67x = 993.06 × 424.94
  4. Step 4: Simplify right side
    719.67x = 421,985.95
  5. Step 5: Solve for x
    x = 421,985.95/719.67
  6. Step 6: Final answer
    x = 586.36

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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.