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Finding the Fourth Proportional to 1,040.08, 1,560.32 and 309.72

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Solution

The fourth proportional to 1,040.08, 1,560.32 and 309.72 is: 464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.08 : 1,560.32 = 309.72 : x
  2. Step 2: Convert to fraction form
    1,040.08/1,560.32 = 309.72/x
  3. Step 3: Cross multiply
    1,040.08x = 1,560.32 × 309.72
  4. Step 4: Simplify right side
    1,040.08x = 483,262.31
  5. Step 5: Solve for x
    x = 483,262.31/1,040.08
  6. Step 6: Final answer
    x = 464.64

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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.