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Finding the Fourth Proportional to 952.56, 1,429.40 and 709.72

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Solution

The fourth proportional to 952.56, 1,429.40 and 709.72 is: 1,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.56 : 1,429.40 = 709.72 : x
  2. Step 2: Convert to fraction form
    952.56/1,429.40 = 709.72/x
  3. Step 3: Cross multiply
    952.56x = 1,429.40 × 709.72
  4. Step 4: Simplify right side
    952.56x = 1,014,473.77
  5. Step 5: Solve for x
    x = 1,014,473.77/952.56
  6. Step 6: Final answer
    x = 1,065.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.