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Finding the Fourth Proportional to 973.34, 1,461.03 and 827.96

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Solution

The fourth proportional to 973.34, 1,461.03 and 827.96 is: 1,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.34 : 1,461.03 = 827.96 : x
  2. Step 2: Convert to fraction form
    973.34/1,461.03 = 827.96/x
  3. Step 3: Cross multiply
    973.34x = 1,461.03 × 827.96
  4. Step 4: Simplify right side
    973.34x = 1,209,674.40
  5. Step 5: Solve for x
    x = 1,209,674.40/973.34
  6. Step 6: Final answer
    x = 1,242.81

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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.