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Finding the Fourth Proportional to 1,344.74, 2,017.32 and 420.11

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Solution

The fourth proportional to 1,344.74, 2,017.32 and 420.11 is: 630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.74 : 2,017.32 = 420.11 : x
  2. Step 2: Convert to fraction form
    1,344.74/2,017.32 = 420.11/x
  3. Step 3: Cross multiply
    1,344.74x = 2,017.32 × 420.11
  4. Step 4: Simplify right side
    1,344.74x = 847,486.22
  5. Step 5: Solve for x
    x = 847,486.22/1,344.74
  6. Step 6: Final answer
    x = 630.23

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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.