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Finding the Fourth Proportional to 1,167.94, 1,614.08 and 957.80

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Solution

The fourth proportional to 1,167.94, 1,614.08 and 957.80 is: 1,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.94 : 1,614.08 = 957.80 : x
  2. Step 2: Convert to fraction form
    1,167.94/1,614.08 = 957.80/x
  3. Step 3: Cross multiply
    1,167.94x = 1,614.08 × 957.80
  4. Step 4: Simplify right side
    1,167.94x = 1,545,965.82
  5. Step 5: Solve for x
    x = 1,545,965.82/1,167.94
  6. Step 6: Final answer
    x = 1,323.67

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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.