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Finding the Fourth Proportional to 1,412.98, 2,117.83 and 762.35

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Solution

The fourth proportional to 1,412.98, 2,117.83 and 762.35 is: 1,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.98 : 2,117.83 = 762.35 : x
  2. Step 2: Convert to fraction form
    1,412.98/2,117.83 = 762.35/x
  3. Step 3: Cross multiply
    1,412.98x = 2,117.83 × 762.35
  4. Step 4: Simplify right side
    1,412.98x = 1,614,527.70
  5. Step 5: Solve for x
    x = 1,614,527.70/1,412.98
  6. Step 6: Final answer
    x = 1,142.64

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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.