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Finding the Fourth Proportional to 962.76, 1,440.46 and 846.28

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Solution

The fourth proportional to 962.76, 1,440.46 and 846.28 is: 1,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.76 : 1,440.46 = 846.28 : x
  2. Step 2: Convert to fraction form
    962.76/1,440.46 = 846.28/x
  3. Step 3: Cross multiply
    962.76x = 1,440.46 × 846.28
  4. Step 4: Simplify right side
    962.76x = 1,219,032.49
  5. Step 5: Solve for x
    x = 1,219,032.49/962.76
  6. Step 6: Final answer
    x = 1,266.19

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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.