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Finding the Fourth Proportional to 974.68, 1,461.63 and 564.10

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Solution

The fourth proportional to 974.68, 1,461.63 and 564.10 is: 845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.68 : 1,461.63 = 564.10 : x
  2. Step 2: Convert to fraction form
    974.68/1,461.63 = 564.10/x
  3. Step 3: Cross multiply
    974.68x = 1,461.63 × 564.10
  4. Step 4: Simplify right side
    974.68x = 824,505.75
  5. Step 5: Solve for x
    x = 824,505.75/974.68
  6. Step 6: Final answer
    x = 845.93

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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.