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Finding the Fourth Proportional to 1,450.14, 2,176.12 and 584.45

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Solution

The fourth proportional to 1,450.14, 2,176.12 and 584.45 is: 877.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.14 : 2,176.12 = 584.45 : x
  2. Step 2: Convert to fraction form
    1,450.14/2,176.12 = 584.45/x
  3. Step 3: Cross multiply
    1,450.14x = 2,176.12 × 584.45
  4. Step 4: Simplify right side
    1,450.14x = 1,271,828.06
  5. Step 5: Solve for x
    x = 1,271,828.06/1,450.14
  6. Step 6: Final answer
    x = 877.04

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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.