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Finding the Fourth Proportional to 784.10, 1,176 and 264.04

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Solution

The fourth proportional to 784.10, 1,176 and 264.04 is: 396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,176 = 264.04 : x
  2. Step 2: Convert to fraction form
    784.10/1,176 = 264.04/x
  3. Step 3: Cross multiply
    784.10x = 1,176 × 264.04
  4. Step 4: Simplify right side
    784.10x = 310,511.04
  5. Step 5: Solve for x
    x = 310,511.04/784.10
  6. Step 6: Final answer
    x = 396.01

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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.