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Finding the Fourth Proportional to 973.77, 1,343.94 and 600.92

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Solution

The fourth proportional to 973.77, 1,343.94 and 600.92 is: 829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.77 : 1,343.94 = 600.92 : x
  2. Step 2: Convert to fraction form
    973.77/1,343.94 = 600.92/x
  3. Step 3: Cross multiply
    973.77x = 1,343.94 × 600.92
  4. Step 4: Simplify right side
    973.77x = 807,599.87
  5. Step 5: Solve for x
    x = 807,599.87/973.77
  6. Step 6: Final answer
    x = 829.35

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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.