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Finding the Fourth Proportional to 695.10, 1,041.02 and 365.25

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Solution

The fourth proportional to 695.10, 1,041.02 and 365.25 is: 547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.10 : 1,041.02 = 365.25 : x
  2. Step 2: Convert to fraction form
    695.10/1,041.02 = 365.25/x
  3. Step 3: Cross multiply
    695.10x = 1,041.02 × 365.25
  4. Step 4: Simplify right side
    695.10x = 380,232.56
  5. Step 5: Solve for x
    x = 380,232.56/695.10
  6. Step 6: Final answer
    x = 547.02

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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.