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Finding the Fourth Proportional to 712.49, 983.00 and 564.66

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Solution

The fourth proportional to 712.49, 983.00 and 564.66 is: 779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.49 : 983.00 = 564.66 : x
  2. Step 2: Convert to fraction form
    712.49/983.00 = 564.66/x
  3. Step 3: Cross multiply
    712.49x = 983.00 × 564.66
  4. Step 4: Simplify right side
    712.49x = 555,062.19
  5. Step 5: Solve for x
    x = 555,062.19/712.49
  6. Step 6: Final answer
    x = 779.05

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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.