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Finding the Fourth Proportional to 974.64, 1,460.80 and 562.93

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Solution

The fourth proportional to 974.64, 1,460.80 and 562.93 is: 843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.64 : 1,460.80 = 562.93 : x
  2. Step 2: Convert to fraction form
    974.64/1,460.80 = 562.93/x
  3. Step 3: Cross multiply
    974.64x = 1,460.80 × 562.93
  4. Step 4: Simplify right side
    974.64x = 822,328.14
  5. Step 5: Solve for x
    x = 822,328.14/974.64
  6. Step 6: Final answer
    x = 843.73

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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.