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Finding the Fourth Proportional to 983.40, 1,357.86 and 590.95

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Solution

The fourth proportional to 983.40, 1,357.86 and 590.95 is: 815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.40 : 1,357.86 = 590.95 : x
  2. Step 2: Convert to fraction form
    983.40/1,357.86 = 590.95/x
  3. Step 3: Cross multiply
    983.40x = 1,357.86 × 590.95
  4. Step 4: Simplify right side
    983.40x = 802,427.37
  5. Step 5: Solve for x
    x = 802,427.37/983.40
  6. Step 6: Final answer
    x = 815.97

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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.