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Finding the Fourth Proportional to 1,588.23, 2,383.33 and 766.59

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Solution

The fourth proportional to 1,588.23, 2,383.33 and 766.59 is: 1,150.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.23 : 2,383.33 = 766.59 : x
  2. Step 2: Convert to fraction form
    1,588.23/2,383.33 = 766.59/x
  3. Step 3: Cross multiply
    1,588.23x = 2,383.33 × 766.59
  4. Step 4: Simplify right side
    1,588.23x = 1,827,036.94
  5. Step 5: Solve for x
    x = 1,827,036.94/1,588.23
  6. Step 6: Final answer
    x = 1,150.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.