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Finding the Fourth Proportional to 973.68, 1,343.46 and 580.80

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Solution

The fourth proportional to 973.68, 1,343.46 and 580.80 is: 801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.68 : 1,343.46 = 580.80 : x
  2. Step 2: Convert to fraction form
    973.68/1,343.46 = 580.80/x
  3. Step 3: Cross multiply
    973.68x = 1,343.46 × 580.80
  4. Step 4: Simplify right side
    973.68x = 780,281.57
  5. Step 5: Solve for x
    x = 780,281.57/973.68
  6. Step 6: Final answer
    x = 801.37

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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.