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Finding the Fourth Proportional to 962, 1,326.95 and 568.75

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Solution

The fourth proportional to 962, 1,326.95 and 568.75 is: 784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    962 : 1,326.95 = 568.75 : x
  2. Step 2: Convert to fraction form
    962/1,326.95 = 568.75/x
  3. Step 3: Cross multiply
    962x = 1,326.95 × 568.75
  4. Step 4: Simplify right side
    962x = 754,693.33
  5. Step 5: Solve for x
    x = 754,693.33/962
  6. Step 6: Final answer
    x = 784.50

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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.