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Finding the Fourth Proportional to 790.52, 1,185.08 and 328.01

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Solution

The fourth proportional to 790.52, 1,185.08 and 328.01 is: 491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.52 : 1,185.08 = 328.01 : x
  2. Step 2: Convert to fraction form
    790.52/1,185.08 = 328.01/x
  3. Step 3: Cross multiply
    790.52x = 1,185.08 × 328.01
  4. Step 4: Simplify right side
    790.52x = 388,718.09
  5. Step 5: Solve for x
    x = 388,718.09/790.52
  6. Step 6: Final answer
    x = 491.72

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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.