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Finding the Fourth Proportional to 1,083.36, 1,625.06 and 588.55

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Solution

The fourth proportional to 1,083.36, 1,625.06 and 588.55 is: 882.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.36 : 1,625.06 = 588.55 : x
  2. Step 2: Convert to fraction form
    1,083.36/1,625.06 = 588.55/x
  3. Step 3: Cross multiply
    1,083.36x = 1,625.06 × 588.55
  4. Step 4: Simplify right side
    1,083.36x = 956,429.52
  5. Step 5: Solve for x
    x = 956,429.52/1,083.36
  6. Step 6: Final answer
    x = 882.84

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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.