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Finding the Fourth Proportional to 964.19, 1,332.09 and 632.49

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Solution

The fourth proportional to 964.19, 1,332.09 and 632.49 is: 873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.19 : 1,332.09 = 632.49 : x
  2. Step 2: Convert to fraction form
    964.19/1,332.09 = 632.49/x
  3. Step 3: Cross multiply
    964.19x = 1,332.09 × 632.49
  4. Step 4: Simplify right side
    964.19x = 842,533.60
  5. Step 5: Solve for x
    x = 842,533.60/964.19
  6. Step 6: Final answer
    x = 873.83

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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.