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Finding the Fourth Proportional to 974.86, 1,461.90 and 461.50

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Solution

The fourth proportional to 974.86, 1,461.90 and 461.50 is: 692.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.86 : 1,461.90 = 461.50 : x
  2. Step 2: Convert to fraction form
    974.86/1,461.90 = 461.50/x
  3. Step 3: Cross multiply
    974.86x = 1,461.90 × 461.50
  4. Step 4: Simplify right side
    974.86x = 674,666.85
  5. Step 5: Solve for x
    x = 674,666.85/974.86
  6. Step 6: Final answer
    x = 692.07

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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.