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Finding the Fourth Proportional to 977.49, 1,349.33 and 584.45

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Solution

The fourth proportional to 977.49, 1,349.33 and 584.45 is: 806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.49 : 1,349.33 = 584.45 : x
  2. Step 2: Convert to fraction form
    977.49/1,349.33 = 584.45/x
  3. Step 3: Cross multiply
    977.49x = 1,349.33 × 584.45
  4. Step 4: Simplify right side
    977.49x = 788,606.25
  5. Step 5: Solve for x
    x = 788,606.25/977.49
  6. Step 6: Final answer
    x = 806.77

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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.