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Finding the Fourth Proportional to 971.28, 1,453.76 and 606.40

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Solution

The fourth proportional to 971.28, 1,453.76 and 606.40 is: 907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.28 : 1,453.76 = 606.40 : x
  2. Step 2: Convert to fraction form
    971.28/1,453.76 = 606.40/x
  3. Step 3: Cross multiply
    971.28x = 1,453.76 × 606.40
  4. Step 4: Simplify right side
    971.28x = 881,560.06
  5. Step 5: Solve for x
    x = 881,560.06/971.28
  6. Step 6: Final answer
    x = 907.63

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Why These Related Problems?

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