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Finding the Fourth Proportional to 973.88, 1,343.96 and 580.92

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Solution

The fourth proportional to 973.88, 1,343.96 and 580.92 is: 801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.88 : 1,343.96 = 580.92 : x
  2. Step 2: Convert to fraction form
    973.88/1,343.96 = 580.92/x
  3. Step 3: Cross multiply
    973.88x = 1,343.96 × 580.92
  4. Step 4: Simplify right side
    973.88x = 780,733.24
  5. Step 5: Solve for x
    x = 780,733.24/973.88
  6. Step 6: Final answer
    x = 801.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.