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Finding the Fourth Proportional to 1,083.33, 1,495.00 and 585.98

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Solution

The fourth proportional to 1,083.33, 1,495.00 and 585.98 is: 808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.33 : 1,495.00 = 585.98 : x
  2. Step 2: Convert to fraction form
    1,083.33/1,495.00 = 585.98/x
  3. Step 3: Cross multiply
    1,083.33x = 1,495.00 × 585.98
  4. Step 4: Simplify right side
    1,083.33x = 876,035.58
  5. Step 5: Solve for x
    x = 876,035.58/1,083.33
  6. Step 6: Final answer
    x = 808.65

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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.