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Finding the Fourth Proportional to 983.84, 1,357.74 and 585.54

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Solution

The fourth proportional to 983.84, 1,357.74 and 585.54 is: 808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.84 : 1,357.74 = 585.54 : x
  2. Step 2: Convert to fraction form
    983.84/1,357.74 = 585.54/x
  3. Step 3: Cross multiply
    983.84x = 1,357.74 × 585.54
  4. Step 4: Simplify right side
    983.84x = 795,011.08
  5. Step 5: Solve for x
    x = 795,011.08/983.84
  6. Step 6: Final answer
    x = 808.07

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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.