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Finding the Fourth Proportional to 974.61, 1,461.53 and 426.41

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Solution

The fourth proportional to 974.61, 1,461.53 and 426.41 is: 639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.61 : 1,461.53 = 426.41 : x
  2. Step 2: Convert to fraction form
    974.61/1,461.53 = 426.41/x
  3. Step 3: Cross multiply
    974.61x = 1,461.53 × 426.41
  4. Step 4: Simplify right side
    974.61x = 623,210.25
  5. Step 5: Solve for x
    x = 623,210.25/974.61
  6. Step 6: Final answer
    x = 639.45

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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.