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Finding the Fourth Proportional to 1,406.88, 1,941.38 and 777.41

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Solution

The fourth proportional to 1,406.88, 1,941.38 and 777.41 is: 1,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.88 : 1,941.38 = 777.41 : x
  2. Step 2: Convert to fraction form
    1,406.88/1,941.38 = 777.41/x
  3. Step 3: Cross multiply
    1,406.88x = 1,941.38 × 777.41
  4. Step 4: Simplify right side
    1,406.88x = 1,509,252.11
  5. Step 5: Solve for x
    x = 1,509,252.11/1,406.88
  6. Step 6: Final answer
    x = 1,072.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.