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Finding the Fourth Proportional to 974.42, 1,462.13 and 563.93

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Solution

The fourth proportional to 974.42, 1,462.13 and 563.93 is: 846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.42 : 1,462.13 = 563.93 : x
  2. Step 2: Convert to fraction form
    974.42/1,462.13 = 563.93/x
  3. Step 3: Cross multiply
    974.42x = 1,462.13 × 563.93
  4. Step 4: Simplify right side
    974.42x = 824,538.97
  5. Step 5: Solve for x
    x = 824,538.97/974.42
  6. Step 6: Final answer
    x = 846.18

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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.