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Finding the Fourth Proportional to 973.32, 1,343.01 and 580.24

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Solution

The fourth proportional to 973.32, 1,343.01 and 580.24 is: 800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.32 : 1,343.01 = 580.24 : x
  2. Step 2: Convert to fraction form
    973.32/1,343.01 = 580.24/x
  3. Step 3: Cross multiply
    973.32x = 1,343.01 × 580.24
  4. Step 4: Simplify right side
    973.32x = 779,268.12
  5. Step 5: Solve for x
    x = 779,268.12/973.32
  6. Step 6: Final answer
    x = 800.63

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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.