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Finding the Fourth Proportional to 1,652.49, 2,478.94 and 774.54

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Solution

The fourth proportional to 1,652.49, 2,478.94 and 774.54 is: 1,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.49 : 2,478.94 = 774.54 : x
  2. Step 2: Convert to fraction form
    1,652.49/2,478.94 = 774.54/x
  3. Step 3: Cross multiply
    1,652.49x = 2,478.94 × 774.54
  4. Step 4: Simplify right side
    1,652.49x = 1,920,038.19
  5. Step 5: Solve for x
    x = 1,920,038.19/1,652.49
  6. Step 6: Final answer
    x = 1,161.91

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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.