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Finding the Fourth Proportional to 1,417.75, 1,956.10 and 850.36

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Solution

The fourth proportional to 1,417.75, 1,956.10 and 850.36 is: 1,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.75 : 1,956.10 = 850.36 : x
  2. Step 2: Convert to fraction form
    1,417.75/1,956.10 = 850.36/x
  3. Step 3: Cross multiply
    1,417.75x = 1,956.10 × 850.36
  4. Step 4: Simplify right side
    1,417.75x = 1,663,389.20
  5. Step 5: Solve for x
    x = 1,663,389.20/1,417.75
  6. Step 6: Final answer
    x = 1,173.26

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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.