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Finding the Fourth Proportional to 973.92, 1,461.04 and 541.60

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Solution

The fourth proportional to 973.92, 1,461.04 and 541.60 is: 812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.92 : 1,461.04 = 541.60 : x
  2. Step 2: Convert to fraction form
    973.92/1,461.04 = 541.60/x
  3. Step 3: Cross multiply
    973.92x = 1,461.04 × 541.60
  4. Step 4: Simplify right side
    973.92x = 791,299.26
  5. Step 5: Solve for x
    x = 791,299.26/973.92
  6. Step 6: Final answer
    x = 812.49

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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.