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Finding the Fourth Proportional to 743.64, 1,025.02 and 566.01

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Solution

The fourth proportional to 743.64, 1,025.02 and 566.01 is: 780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.64 : 1,025.02 = 566.01 : x
  2. Step 2: Convert to fraction form
    743.64/1,025.02 = 566.01/x
  3. Step 3: Cross multiply
    743.64x = 1,025.02 × 566.01
  4. Step 4: Simplify right side
    743.64x = 580,171.57
  5. Step 5: Solve for x
    x = 580,171.57/743.64
  6. Step 6: Final answer
    x = 780.18

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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.