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Finding the Fourth Proportional to 1,528.03, 2,290.99 and 705.84

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Solution

The fourth proportional to 1,528.03, 2,290.99 and 705.84 is: 1,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.03 : 2,290.99 = 705.84 : x
  2. Step 2: Convert to fraction form
    1,528.03/2,290.99 = 705.84/x
  3. Step 3: Cross multiply
    1,528.03x = 2,290.99 × 705.84
  4. Step 4: Simplify right side
    1,528.03x = 1,617,072.38
  5. Step 5: Solve for x
    x = 1,617,072.38/1,528.03
  6. Step 6: Final answer
    x = 1,058.27

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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.