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Finding the Fourth Proportional to 1,356.23, 2,033.86 and 478.50

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Solution

The fourth proportional to 1,356.23, 2,033.86 and 478.50 is: 717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.23 : 2,033.86 = 478.50 : x
  2. Step 2: Convert to fraction form
    1,356.23/2,033.86 = 478.50/x
  3. Step 3: Cross multiply
    1,356.23x = 2,033.86 × 478.50
  4. Step 4: Simplify right side
    1,356.23x = 973,202.01
  5. Step 5: Solve for x
    x = 973,202.01/1,356.23
  6. Step 6: Final answer
    x = 717.58

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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.