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Finding the Fourth Proportional to 983.75, 1,357.58 and 590.78

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Solution

The fourth proportional to 983.75, 1,357.58 and 590.78 is: 815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.75 : 1,357.58 = 590.78 : x
  2. Step 2: Convert to fraction form
    983.75/1,357.58 = 590.78/x
  3. Step 3: Cross multiply
    983.75x = 1,357.58 × 590.78
  4. Step 4: Simplify right side
    983.75x = 802,035.98
  5. Step 5: Solve for x
    x = 802,035.98/983.75
  6. Step 6: Final answer
    x = 815.28

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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.