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Finding the Fourth Proportional to 704.70, 973.86 and 571.68

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Solution

The fourth proportional to 704.70, 973.86 and 571.68 is: 790.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.70 : 973.86 = 571.68 : x
  2. Step 2: Convert to fraction form
    704.70/973.86 = 571.68/x
  3. Step 3: Cross multiply
    704.70x = 973.86 × 571.68
  4. Step 4: Simplify right side
    704.70x = 556,736.28
  5. Step 5: Solve for x
    x = 556,736.28/704.70
  6. Step 6: Final answer
    x = 790.03

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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.