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Finding the Fourth Proportional to 1,019.12, 1,406.97 and 646.41

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Solution

The fourth proportional to 1,019.12, 1,406.97 and 646.41 is: 892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.12 : 1,406.97 = 646.41 : x
  2. Step 2: Convert to fraction form
    1,019.12/1,406.97 = 646.41/x
  3. Step 3: Cross multiply
    1,019.12x = 1,406.97 × 646.41
  4. Step 4: Simplify right side
    1,019.12x = 909,479.48
  5. Step 5: Solve for x
    x = 909,479.48/1,019.12
  6. Step 6: Final answer
    x = 892.42

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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.