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Finding the Fourth Proportional to 688.79, 948.96 and 564.45

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Solution

The fourth proportional to 688.79, 948.96 and 564.45 is: 777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.79 : 948.96 = 564.45 : x
  2. Step 2: Convert to fraction form
    688.79/948.96 = 564.45/x
  3. Step 3: Cross multiply
    688.79x = 948.96 × 564.45
  4. Step 4: Simplify right side
    688.79x = 535,640.47
  5. Step 5: Solve for x
    x = 535,640.47/688.79
  6. Step 6: Final answer
    x = 777.65

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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.