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Finding the Fourth Proportional to 1,082.51, 1,493.87 and 585.15

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Solution

The fourth proportional to 1,082.51, 1,493.87 and 585.15 is: 807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.51 : 1,493.87 = 585.15 : x
  2. Step 2: Convert to fraction form
    1,082.51/1,493.87 = 585.15/x
  3. Step 3: Cross multiply
    1,082.51x = 1,493.87 × 585.15
  4. Step 4: Simplify right side
    1,082.51x = 874,137.14
  5. Step 5: Solve for x
    x = 874,137.14/1,082.51
  6. Step 6: Final answer
    x = 807.51

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Why These Related Problems?

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