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Finding the Fourth Proportional to 977.18, 1,348.80 and 584.44

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Solution

The fourth proportional to 977.18, 1,348.80 and 584.44 is: 806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.18 : 1,348.80 = 584.44 : x
  2. Step 2: Convert to fraction form
    977.18/1,348.80 = 584.44/x
  3. Step 3: Cross multiply
    977.18x = 1,348.80 × 584.44
  4. Step 4: Simplify right side
    977.18x = 788,292.67
  5. Step 5: Solve for x
    x = 788,292.67/977.18
  6. Step 6: Final answer
    x = 806.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.