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Finding the Fourth Proportional to 975.27, 1,461.69 and 541.53

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Solution

The fourth proportional to 975.27, 1,461.69 and 541.53 is: 811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.27 : 1,461.69 = 541.53 : x
  2. Step 2: Convert to fraction form
    975.27/1,461.69 = 541.53/x
  3. Step 3: Cross multiply
    975.27x = 1,461.69 × 541.53
  4. Step 4: Simplify right side
    975.27x = 791,548.99
  5. Step 5: Solve for x
    x = 791,548.99/975.27
  6. Step 6: Final answer
    x = 811.62

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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.