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Finding the Fourth Proportional to 1,444.68, 1,993.68 and 972.72

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Solution

The fourth proportional to 1,444.68, 1,993.68 and 972.72 is: 1,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.68 : 1,993.68 = 972.72 : x
  2. Step 2: Convert to fraction form
    1,444.68/1,993.68 = 972.72/x
  3. Step 3: Cross multiply
    1,444.68x = 1,993.68 × 972.72
  4. Step 4: Simplify right side
    1,444.68x = 1,939,292.41
  5. Step 5: Solve for x
    x = 1,939,292.41/1,444.68
  6. Step 6: Final answer
    x = 1,342.37

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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.