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Finding the Fourth Proportional to 983.13, 1,357.00 and 585.07

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Solution

The fourth proportional to 983.13, 1,357.00 and 585.07 is: 807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.13 : 1,357.00 = 585.07 : x
  2. Step 2: Convert to fraction form
    983.13/1,357.00 = 585.07/x
  3. Step 3: Cross multiply
    983.13x = 1,357.00 × 585.07
  4. Step 4: Simplify right side
    983.13x = 793,935.13
  5. Step 5: Solve for x
    x = 793,935.13/983.13
  6. Step 6: Final answer
    x = 807.56

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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.