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Finding the Fourth Proportional to 689.94, 1,036.53 and 636.48

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Solution

The fourth proportional to 689.94, 1,036.53 and 636.48 is: 956.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.94 : 1,036.53 = 636.48 : x
  2. Step 2: Convert to fraction form
    689.94/1,036.53 = 636.48/x
  3. Step 3: Cross multiply
    689.94x = 1,036.53 × 636.48
  4. Step 4: Simplify right side
    689.94x = 659,730.61
  5. Step 5: Solve for x
    x = 659,730.61/689.94
  6. Step 6: Final answer
    x = 956.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.