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Finding the Fourth Proportional to 1,406.51, 1,941.11 and 817.01

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Solution

The fourth proportional to 1,406.51, 1,941.11 and 817.01 is: 1,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.51 : 1,941.11 = 817.01 : x
  2. Step 2: Convert to fraction form
    1,406.51/1,941.11 = 817.01/x
  3. Step 3: Cross multiply
    1,406.51x = 1,941.11 × 817.01
  4. Step 4: Simplify right side
    1,406.51x = 1,585,907.05
  5. Step 5: Solve for x
    x = 1,585,907.05/1,406.51
  6. Step 6: Final answer
    x = 1,127.55

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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.