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Finding the Fourth Proportional to 858.03, 1,184.30 and 563.70

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Solution

The fourth proportional to 858.03, 1,184.30 and 563.70 is: 778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.03 : 1,184.30 = 563.70 : x
  2. Step 2: Convert to fraction form
    858.03/1,184.30 = 563.70/x
  3. Step 3: Cross multiply
    858.03x = 1,184.30 × 563.70
  4. Step 4: Simplify right side
    858.03x = 667,585.40
  5. Step 5: Solve for x
    x = 667,585.40/858.03
  6. Step 6: Final answer
    x = 778.04

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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.