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Finding the Fourth Proportional to 748.65, 1,033.19 and 433.99

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Solution

The fourth proportional to 748.65, 1,033.19 and 433.99 is: 598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.65 : 1,033.19 = 433.99 : x
  2. Step 2: Convert to fraction form
    748.65/1,033.19 = 433.99/x
  3. Step 3: Cross multiply
    748.65x = 1,033.19 × 433.99
  4. Step 4: Simplify right side
    748.65x = 448,394.88
  5. Step 5: Solve for x
    x = 448,394.88/748.65
  6. Step 6: Final answer
    x = 598.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.