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Finding the Fourth Proportional to 983.93, 1,357.41 and 585.51

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Solution

The fourth proportional to 983.93, 1,357.41 and 585.51 is: 807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.93 : 1,357.41 = 585.51 : x
  2. Step 2: Convert to fraction form
    983.93/1,357.41 = 585.51/x
  3. Step 3: Cross multiply
    983.93x = 1,357.41 × 585.51
  4. Step 4: Simplify right side
    983.93x = 794,776.16
  5. Step 5: Solve for x
    x = 794,776.16/983.93
  6. Step 6: Final answer
    x = 807.76

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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.