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Finding the Fourth Proportional to 1,417.35, 1,955.66 and 857.67

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Solution

The fourth proportional to 1,417.35, 1,955.66 and 857.67 is: 1,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.35 : 1,955.66 = 857.67 : x
  2. Step 2: Convert to fraction form
    1,417.35/1,955.66 = 857.67/x
  3. Step 3: Cross multiply
    1,417.35x = 1,955.66 × 857.67
  4. Step 4: Simplify right side
    1,417.35x = 1,677,306.62
  5. Step 5: Solve for x
    x = 1,677,306.62/1,417.35
  6. Step 6: Final answer
    x = 1,183.41

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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.