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Finding the Fourth Proportional to 1,429.27, 1,971.29 and 957.02

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Solution

The fourth proportional to 1,429.27, 1,971.29 and 957.02 is: 1,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.27 : 1,971.29 = 957.02 : x
  2. Step 2: Convert to fraction form
    1,429.27/1,971.29 = 957.02/x
  3. Step 3: Cross multiply
    1,429.27x = 1,971.29 × 957.02
  4. Step 4: Simplify right side
    1,429.27x = 1,886,556.49
  5. Step 5: Solve for x
    x = 1,886,556.49/1,429.27
  6. Step 6: Final answer
    x = 1,319.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.