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Finding the Fourth Proportional to 1,749.74, 2,625.51 and 776.53

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Solution

The fourth proportional to 1,749.74, 2,625.51 and 776.53 is: 1,165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.74 : 2,625.51 = 776.53 : x
  2. Step 2: Convert to fraction form
    1,749.74/2,625.51 = 776.53/x
  3. Step 3: Cross multiply
    1,749.74x = 2,625.51 × 776.53
  4. Step 4: Simplify right side
    1,749.74x = 2,038,787.28
  5. Step 5: Solve for x
    x = 2,038,787.28/1,749.74
  6. Step 6: Final answer
    x = 1,165.19

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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.