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Finding the Fourth Proportional to 1,450.54, 2,176.08 and 477.32

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Solution

The fourth proportional to 1,450.54, 2,176.08 and 477.32 is: 716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.54 : 2,176.08 = 477.32 : x
  2. Step 2: Convert to fraction form
    1,450.54/2,176.08 = 477.32/x
  3. Step 3: Cross multiply
    1,450.54x = 2,176.08 × 477.32
  4. Step 4: Simplify right side
    1,450.54x = 1,038,684.12
  5. Step 5: Solve for x
    x = 1,038,684.12/1,450.54
  6. Step 6: Final answer
    x = 716.07

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