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Finding the Fourth Proportional to 1,750.94, 2,625.60 and 777.32

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Solution

The fourth proportional to 1,750.94, 2,625.60 and 777.32 is: 1,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.94 : 2,625.60 = 777.32 : x
  2. Step 2: Convert to fraction form
    1,750.94/2,625.60 = 777.32/x
  3. Step 3: Cross multiply
    1,750.94x = 2,625.60 × 777.32
  4. Step 4: Simplify right side
    1,750.94x = 2,040,931.39
  5. Step 5: Solve for x
    x = 2,040,931.39/1,750.94
  6. Step 6: Final answer
    x = 1,165.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.