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Finding the Fourth Proportional to 983.50, 1,357.23 and 569.50

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Solution

The fourth proportional to 983.50, 1,357.23 and 569.50 is: 785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.50 : 1,357.23 = 569.50 : x
  2. Step 2: Convert to fraction form
    983.50/1,357.23 = 569.50/x
  3. Step 3: Cross multiply
    983.50x = 1,357.23 × 569.50
  4. Step 4: Simplify right side
    983.50x = 772,942.49
  5. Step 5: Solve for x
    x = 772,942.49/983.50
  6. Step 6: Final answer
    x = 785.91

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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.