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Finding the Fourth Proportional to 983.65, 1,357.49 and 590.80

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Solution

The fourth proportional to 983.65, 1,357.49 and 590.80 is: 815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.65 : 1,357.49 = 590.80 : x
  2. Step 2: Convert to fraction form
    983.65/1,357.49 = 590.80/x
  3. Step 3: Cross multiply
    983.65x = 1,357.49 × 590.80
  4. Step 4: Simplify right side
    983.65x = 802,005.09
  5. Step 5: Solve for x
    x = 802,005.09/983.65
  6. Step 6: Final answer
    x = 815.34

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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.