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Finding the Fourth Proportional to 1,269.89, 1,903.82 and 538.96

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Solution

The fourth proportional to 1,269.89, 1,903.82 and 538.96 is: 808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.89 : 1,903.82 = 538.96 : x
  2. Step 2: Convert to fraction form
    1,269.89/1,903.82 = 538.96/x
  3. Step 3: Cross multiply
    1,269.89x = 1,903.82 × 538.96
  4. Step 4: Simplify right side
    1,269.89x = 1,026,075.37
  5. Step 5: Solve for x
    x = 1,026,075.37/1,269.89
  6. Step 6: Final answer
    x = 808.00

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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.