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Finding the Fourth Proportional to 1,281.36, 1,922.58 and 762.35

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Solution

The fourth proportional to 1,281.36, 1,922.58 and 762.35 is: 1,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.36 : 1,922.58 = 762.35 : x
  2. Step 2: Convert to fraction form
    1,281.36/1,922.58 = 762.35/x
  3. Step 3: Cross multiply
    1,281.36x = 1,922.58 × 762.35
  4. Step 4: Simplify right side
    1,281.36x = 1,465,678.86
  5. Step 5: Solve for x
    x = 1,465,678.86/1,281.36
  6. Step 6: Final answer
    x = 1,143.85

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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.