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Finding the Fourth Proportional to 977.77, 1,349.06 and 604.77

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Solution

The fourth proportional to 977.77, 1,349.06 and 604.77 is: 834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.77 : 1,349.06 = 604.77 : x
  2. Step 2: Convert to fraction form
    977.77/1,349.06 = 604.77/x
  3. Step 3: Cross multiply
    977.77x = 1,349.06 × 604.77
  4. Step 4: Simplify right side
    977.77x = 815,862.93
  5. Step 5: Solve for x
    x = 815,862.93/977.77
  6. Step 6: Final answer
    x = 834.41

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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.