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Finding the Fourth Proportional to 964.19, 1,329.40 and 786.65

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Solution

The fourth proportional to 964.19, 1,329.40 and 786.65 is: 1,084.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.19 : 1,329.40 = 786.65 : x
  2. Step 2: Convert to fraction form
    964.19/1,329.40 = 786.65/x
  3. Step 3: Cross multiply
    964.19x = 1,329.40 × 786.65
  4. Step 4: Simplify right side
    964.19x = 1,045,762.42
  5. Step 5: Solve for x
    x = 1,045,762.42/964.19
  6. Step 6: Final answer
    x = 1,084.61

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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.