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Finding the Fourth Proportional to 974.07, 1,461.39 and 541.53

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Solution

The fourth proportional to 974.07, 1,461.39 and 541.53 is: 812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.07 : 1,461.39 = 541.53 : x
  2. Step 2: Convert to fraction form
    974.07/1,461.39 = 541.53/x
  3. Step 3: Cross multiply
    974.07x = 1,461.39 × 541.53
  4. Step 4: Simplify right side
    974.07x = 791,386.53
  5. Step 5: Solve for x
    x = 791,386.53/974.07
  6. Step 6: Final answer
    x = 812.45

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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.