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Finding the Fourth Proportional to 907.74, 1,253.07 and 712.02

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Solution

The fourth proportional to 907.74, 1,253.07 and 712.02 is: 982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.74 : 1,253.07 = 712.02 : x
  2. Step 2: Convert to fraction form
    907.74/1,253.07 = 712.02/x
  3. Step 3: Cross multiply
    907.74x = 1,253.07 × 712.02
  4. Step 4: Simplify right side
    907.74x = 892,210.90
  5. Step 5: Solve for x
    x = 892,210.90/907.74
  6. Step 6: Final answer
    x = 982.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.