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Finding the Fourth Proportional to 964.03, 1,448.10 and 818.08

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Solution

The fourth proportional to 964.03, 1,448.10 and 818.08 is: 1,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.03 : 1,448.10 = 818.08 : x
  2. Step 2: Convert to fraction form
    964.03/1,448.10 = 818.08/x
  3. Step 3: Cross multiply
    964.03x = 1,448.10 × 818.08
  4. Step 4: Simplify right side
    964.03x = 1,184,661.65
  5. Step 5: Solve for x
    x = 1,184,661.65/964.03
  6. Step 6: Final answer
    x = 1,228.86

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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.