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Finding the Fourth Proportional to 653.04, 979.74 and 458.22

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Solution

The fourth proportional to 653.04, 979.74 and 458.22 is: 687.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.04 : 979.74 = 458.22 : x
  2. Step 2: Convert to fraction form
    653.04/979.74 = 458.22/x
  3. Step 3: Cross multiply
    653.04x = 979.74 × 458.22
  4. Step 4: Simplify right side
    653.04x = 448,936.46
  5. Step 5: Solve for x
    x = 448,936.46/653.04
  6. Step 6: Final answer
    x = 687.46

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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.