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Finding the Fourth Proportional to 974.26, 1,461.40 and 962.10

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Solution

The fourth proportional to 974.26, 1,461.40 and 962.10 is: 1,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.26 : 1,461.40 = 962.10 : x
  2. Step 2: Convert to fraction form
    974.26/1,461.40 = 962.10/x
  3. Step 3: Cross multiply
    974.26x = 1,461.40 × 962.10
  4. Step 4: Simplify right side
    974.26x = 1,406,012.94
  5. Step 5: Solve for x
    x = 1,406,012.94/974.26
  6. Step 6: Final answer
    x = 1,443.16

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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.