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Finding the Fourth Proportional to 653.45, 979.83 and 458.51

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Solution

The fourth proportional to 653.45, 979.83 and 458.51 is: 687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.45 : 979.83 = 458.51 : x
  2. Step 2: Convert to fraction form
    653.45/979.83 = 458.51/x
  3. Step 3: Cross multiply
    653.45x = 979.83 × 458.51
  4. Step 4: Simplify right side
    653.45x = 449,256.95
  5. Step 5: Solve for x
    x = 449,256.95/653.45
  6. Step 6: Final answer
    x = 687.52

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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.