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Finding the Fourth Proportional to 972.94, 1,459.41 and 828.37

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Solution

The fourth proportional to 972.94, 1,459.41 and 828.37 is: 1,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.94 : 1,459.41 = 828.37 : x
  2. Step 2: Convert to fraction form
    972.94/1,459.41 = 828.37/x
  3. Step 3: Cross multiply
    972.94x = 1,459.41 × 828.37
  4. Step 4: Simplify right side
    972.94x = 1,208,931.46
  5. Step 5: Solve for x
    x = 1,208,931.46/972.94
  6. Step 6: Final answer
    x = 1,242.56

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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.