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Finding the Fourth Proportional to 1,050.95, 1,450.24 and 578.75

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Solution

The fourth proportional to 1,050.95, 1,450.24 and 578.75 is: 798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.95 : 1,450.24 = 578.75 : x
  2. Step 2: Convert to fraction form
    1,050.95/1,450.24 = 578.75/x
  3. Step 3: Cross multiply
    1,050.95x = 1,450.24 × 578.75
  4. Step 4: Simplify right side
    1,050.95x = 839,323.51
  5. Step 5: Solve for x
    x = 839,323.51/1,050.95
  6. Step 6: Final answer
    x = 798.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.