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Finding the Fourth Proportional to 1,389.99, 2,083.19 and 567.32

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Solution

The fourth proportional to 1,389.99, 2,083.19 and 567.32 is: 850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.99 : 2,083.19 = 567.32 : x
  2. Step 2: Convert to fraction form
    1,389.99/2,083.19 = 567.32/x
  3. Step 3: Cross multiply
    1,389.99x = 2,083.19 × 567.32
  4. Step 4: Simplify right side
    1,389.99x = 1,181,822.10
  5. Step 5: Solve for x
    x = 1,181,822.10/1,389.99
  6. Step 6: Final answer
    x = 850.24

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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.