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Finding the Fourth Proportional to 907.23, 1,252.71 and 685.80

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Solution

The fourth proportional to 907.23, 1,252.71 and 685.80 is: 946.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.23 : 1,252.71 = 685.80 : x
  2. Step 2: Convert to fraction form
    907.23/1,252.71 = 685.80/x
  3. Step 3: Cross multiply
    907.23x = 1,252.71 × 685.80
  4. Step 4: Simplify right side
    907.23x = 859,108.52
  5. Step 5: Solve for x
    x = 859,108.52/907.23
  6. Step 6: Final answer
    x = 946.96

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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.