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Finding the Fourth Proportional to 973.11, 1,342.83 and 580.14

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Solution

The fourth proportional to 973.11, 1,342.83 and 580.14 is: 800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.11 : 1,342.83 = 580.14 : x
  2. Step 2: Convert to fraction form
    973.11/1,342.83 = 580.14/x
  3. Step 3: Cross multiply
    973.11x = 1,342.83 × 580.14
  4. Step 4: Simplify right side
    973.11x = 779,029.40
  5. Step 5: Solve for x
    x = 779,029.40/973.11
  6. Step 6: Final answer
    x = 800.56

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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.