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Finding the Fourth Proportional to 907.74, 1,254.29 and 712.80

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Solution

The fourth proportional to 907.74, 1,254.29 and 712.80 is: 984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.74 : 1,254.29 = 712.80 : x
  2. Step 2: Convert to fraction form
    907.74/1,254.29 = 712.80/x
  3. Step 3: Cross multiply
    907.74x = 1,254.29 × 712.80
  4. Step 4: Simplify right side
    907.74x = 894,054.35
  5. Step 5: Solve for x
    x = 894,054.35/907.74
  6. Step 6: Final answer
    x = 984.92

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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.