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Finding the Fourth Proportional to 901.81, 1,352.90 and 407.98

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Solution

The fourth proportional to 901.81, 1,352.90 and 407.98 is: 612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.81 : 1,352.90 = 407.98 : x
  2. Step 2: Convert to fraction form
    901.81/1,352.90 = 407.98/x
  3. Step 3: Cross multiply
    901.81x = 1,352.90 × 407.98
  4. Step 4: Simplify right side
    901.81x = 551,950.72
  5. Step 5: Solve for x
    x = 551,950.72/901.81
  6. Step 6: Final answer
    x = 612.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.