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Finding the Fourth Proportional to 1,355.49, 2,032.91 and 465.95

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Solution

The fourth proportional to 1,355.49, 2,032.91 and 465.95 is: 698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.49 : 2,032.91 = 465.95 : x
  2. Step 2: Convert to fraction form
    1,355.49/2,032.91 = 465.95/x
  3. Step 3: Cross multiply
    1,355.49x = 2,032.91 × 465.95
  4. Step 4: Simplify right side
    1,355.49x = 947,234.41
  5. Step 5: Solve for x
    x = 947,234.41/1,355.49
  6. Step 6: Final answer
    x = 698.81

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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.