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Finding the Fourth Proportional to 1,548.37, 2,320.93 and 777.25

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Solution

The fourth proportional to 1,548.37, 2,320.93 and 777.25 is: 1,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.37 : 2,320.93 = 777.25 : x
  2. Step 2: Convert to fraction form
    1,548.37/2,320.93 = 777.25/x
  3. Step 3: Cross multiply
    1,548.37x = 2,320.93 × 777.25
  4. Step 4: Simplify right side
    1,548.37x = 1,803,942.84
  5. Step 5: Solve for x
    x = 1,803,942.84/1,548.37
  6. Step 6: Final answer
    x = 1,165.06

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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.