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Finding the Fourth Proportional to 652.77, 900.99 and 453.61

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Solution

The fourth proportional to 652.77, 900.99 and 453.61 is: 626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.77 : 900.99 = 453.61 : x
  2. Step 2: Convert to fraction form
    652.77/900.99 = 453.61/x
  3. Step 3: Cross multiply
    652.77x = 900.99 × 453.61
  4. Step 4: Simplify right side
    652.77x = 408,698.07
  5. Step 5: Solve for x
    x = 408,698.07/652.77
  6. Step 6: Final answer
    x = 626.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.