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Finding the Fourth Proportional to 1,588.22, 2,382.33 and 561.50

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Solution

The fourth proportional to 1,588.22, 2,382.33 and 561.50 is: 842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.22 : 2,382.33 = 561.50 : x
  2. Step 2: Convert to fraction form
    1,588.22/2,382.33 = 561.50/x
  3. Step 3: Cross multiply
    1,588.22x = 2,382.33 × 561.50
  4. Step 4: Simplify right side
    1,588.22x = 1,337,678.30
  5. Step 5: Solve for x
    x = 1,337,678.30/1,588.22
  6. Step 6: Final answer
    x = 842.25

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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.