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Finding the Fourth Proportional to 1,406.97, 1,941.74 and 777.57

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Solution

The fourth proportional to 1,406.97, 1,941.74 and 777.57 is: 1,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.97 : 1,941.74 = 777.57 : x
  2. Step 2: Convert to fraction form
    1,406.97/1,941.74 = 777.57/x
  3. Step 3: Cross multiply
    1,406.97x = 1,941.74 × 777.57
  4. Step 4: Simplify right side
    1,406.97x = 1,509,830.52
  5. Step 5: Solve for x
    x = 1,509,830.52/1,406.97
  6. Step 6: Final answer
    x = 1,073.11

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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.