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Finding the Fourth Proportional to 1,424.07, 1,964.97 and 864.72

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Solution

The fourth proportional to 1,424.07, 1,964.97 and 864.72 is: 1,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.07 : 1,964.97 = 864.72 : x
  2. Step 2: Convert to fraction form
    1,424.07/1,964.97 = 864.72/x
  3. Step 3: Cross multiply
    1,424.07x = 1,964.97 × 864.72
  4. Step 4: Simplify right side
    1,424.07x = 1,699,148.86
  5. Step 5: Solve for x
    x = 1,699,148.86/1,424.07
  6. Step 6: Final answer
    x = 1,193.16

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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.