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Finding the Fourth Proportional to 972.94, 1,460.45 and 540.46

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Solution

The fourth proportional to 972.94, 1,460.45 and 540.46 is: 811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.94 : 1,460.45 = 540.46 : x
  2. Step 2: Convert to fraction form
    972.94/1,460.45 = 540.46/x
  3. Step 3: Cross multiply
    972.94x = 1,460.45 × 540.46
  4. Step 4: Simplify right side
    972.94x = 789,314.81
  5. Step 5: Solve for x
    x = 789,314.81/972.94
  6. Step 6: Final answer
    x = 811.27

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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.