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Finding the Fourth Proportional to 1,174.71, 1,619.40 and 964.59

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Solution

The fourth proportional to 1,174.71, 1,619.40 and 964.59 is: 1,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.71 : 1,619.40 = 964.59 : x
  2. Step 2: Convert to fraction form
    1,174.71/1,619.40 = 964.59/x
  3. Step 3: Cross multiply
    1,174.71x = 1,619.40 × 964.59
  4. Step 4: Simplify right side
    1,174.71x = 1,562,057.05
  5. Step 5: Solve for x
    x = 1,562,057.05/1,174.71
  6. Step 6: Final answer
    x = 1,329.74

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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.