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Finding the Fourth Proportional to 1,290.26, 1,933.80 and 595.99

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Solution

The fourth proportional to 1,290.26, 1,933.80 and 595.99 is: 893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.26 : 1,933.80 = 595.99 : x
  2. Step 2: Convert to fraction form
    1,290.26/1,933.80 = 595.99/x
  3. Step 3: Cross multiply
    1,290.26x = 1,933.80 × 595.99
  4. Step 4: Simplify right side
    1,290.26x = 1,152,525.46
  5. Step 5: Solve for x
    x = 1,152,525.46/1,290.26
  6. Step 6: Final answer
    x = 893.25

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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.