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Finding the Fourth Proportional to 700.28, 965.84 and 595.68

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Solution

The fourth proportional to 700.28, 965.84 and 595.68 is: 821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.28 : 965.84 = 595.68 : x
  2. Step 2: Convert to fraction form
    700.28/965.84 = 595.68/x
  3. Step 3: Cross multiply
    700.28x = 965.84 × 595.68
  4. Step 4: Simplify right side
    700.28x = 575,331.57
  5. Step 5: Solve for x
    x = 575,331.57/700.28
  6. Step 6: Final answer
    x = 821.57

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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.