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Finding the Fourth Proportional to 983.90, 1,357.22 and 718.00

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Solution

The fourth proportional to 983.90, 1,357.22 and 718.00 is: 990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.90 : 1,357.22 = 718.00 : x
  2. Step 2: Convert to fraction form
    983.90/1,357.22 = 718.00/x
  3. Step 3: Cross multiply
    983.90x = 1,357.22 × 718.00
  4. Step 4: Simplify right side
    983.90x = 974,473.58
  5. Step 5: Solve for x
    x = 974,473.58/983.90
  6. Step 6: Final answer
    x = 990.42

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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.