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Finding the Fourth Proportional to 1,423.80, 1,964.34 and 864.45

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Solution

The fourth proportional to 1,423.80, 1,964.34 and 864.45 is: 1,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.80 : 1,964.34 = 864.45 : x
  2. Step 2: Convert to fraction form
    1,423.80/1,964.34 = 864.45/x
  3. Step 3: Cross multiply
    1,423.80x = 1,964.34 × 864.45
  4. Step 4: Simplify right side
    1,423.80x = 1,698,073.71
  5. Step 5: Solve for x
    x = 1,698,073.71/1,423.80
  6. Step 6: Final answer
    x = 1,192.64

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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.