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Finding the Fourth Proportional to 1,259.02, 1,888.63 and 393.33

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Solution

The fourth proportional to 1,259.02, 1,888.63 and 393.33 is: 590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.02 : 1,888.63 = 393.33 : x
  2. Step 2: Convert to fraction form
    1,259.02/1,888.63 = 393.33/x
  3. Step 3: Cross multiply
    1,259.02x = 1,888.63 × 393.33
  4. Step 4: Simplify right side
    1,259.02x = 742,860.94
  5. Step 5: Solve for x
    x = 742,860.94/1,259.02
  6. Step 6: Final answer
    x = 590.03

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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.