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Finding the Fourth Proportional to 1,082.49, 1,493.84 and 585.13

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Solution

The fourth proportional to 1,082.49, 1,493.84 and 585.13 is: 807.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.49 : 1,493.84 = 585.13 : x
  2. Step 2: Convert to fraction form
    1,082.49/1,493.84 = 585.13/x
  3. Step 3: Cross multiply
    1,082.49x = 1,493.84 × 585.13
  4. Step 4: Simplify right side
    1,082.49x = 874,090.60
  5. Step 5: Solve for x
    x = 874,090.60/1,082.49
  6. Step 6: Final answer
    x = 807.48

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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.