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Finding the Fourth Proportional to 1,158.25, 1,737.99 and 581.14

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Solution

The fourth proportional to 1,158.25, 1,737.99 and 581.14 is: 872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.25 : 1,737.99 = 581.14 : x
  2. Step 2: Convert to fraction form
    1,158.25/1,737.99 = 581.14/x
  3. Step 3: Cross multiply
    1,158.25x = 1,737.99 × 581.14
  4. Step 4: Simplify right side
    1,158.25x = 1,010,015.51
  5. Step 5: Solve for x
    x = 1,010,015.51/1,158.25
  6. Step 6: Final answer
    x = 872.02

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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.