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Finding the Fourth Proportional to 983.01, 1,356.54 and 590.03

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Solution

The fourth proportional to 983.01, 1,356.54 and 590.03 is: 814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.01 : 1,356.54 = 590.03 : x
  2. Step 2: Convert to fraction form
    983.01/1,356.54 = 590.03/x
  3. Step 3: Cross multiply
    983.01x = 1,356.54 × 590.03
  4. Step 4: Simplify right side
    983.01x = 800,399.81
  5. Step 5: Solve for x
    x = 800,399.81/983.01
  6. Step 6: Final answer
    x = 814.24

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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.