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Finding the Fourth Proportional to 983.10, 1,356.55 and 589.98

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Solution

The fourth proportional to 983.10, 1,356.55 and 589.98 is: 814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.10 : 1,356.55 = 589.98 : x
  2. Step 2: Convert to fraction form
    983.10/1,356.55 = 589.98/x
  3. Step 3: Cross multiply
    983.10x = 1,356.55 × 589.98
  4. Step 4: Simplify right side
    983.10x = 800,337.37
  5. Step 5: Solve for x
    x = 800,337.37/983.10
  6. Step 6: Final answer
    x = 814.10

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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.