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Finding the Fourth Proportional to 977.40, 1,349.18 and 584.28

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Solution

The fourth proportional to 977.40, 1,349.18 and 584.28 is: 806.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.40 : 1,349.18 = 584.28 : x
  2. Step 2: Convert to fraction form
    977.40/1,349.18 = 584.28/x
  3. Step 3: Cross multiply
    977.40x = 1,349.18 × 584.28
  4. Step 4: Simplify right side
    977.40x = 788,298.89
  5. Step 5: Solve for x
    x = 788,298.89/977.40
  6. Step 6: Final answer
    x = 806.53

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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.