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Finding the Fourth Proportional to 705.63, 973.00 and 593.57

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Solution

The fourth proportional to 705.63, 973.00 and 593.57 is: 818.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.63 : 973.00 = 593.57 : x
  2. Step 2: Convert to fraction form
    705.63/973.00 = 593.57/x
  3. Step 3: Cross multiply
    705.63x = 973.00 × 593.57
  4. Step 4: Simplify right side
    705.63x = 577,540.05
  5. Step 5: Solve for x
    x = 577,540.05/705.63
  6. Step 6: Final answer
    x = 818.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.