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Finding the Fourth Proportional to 974.63, 1,461.05 and 357.89

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Solution

The fourth proportional to 974.63, 1,461.05 and 357.89 is: 536.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.63 : 1,461.05 = 357.89 : x
  2. Step 2: Convert to fraction form
    974.63/1,461.05 = 357.89/x
  3. Step 3: Cross multiply
    974.63x = 1,461.05 × 357.89
  4. Step 4: Simplify right side
    974.63x = 522,895.18
  5. Step 5: Solve for x
    x = 522,895.18/974.63
  6. Step 6: Final answer
    x = 536.51

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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.