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Finding the Fourth Proportional to 700.80, 1,052.16 and 457.92

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Solution

The fourth proportional to 700.80, 1,052.16 and 457.92 is: 687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.80 : 1,052.16 = 457.92 : x
  2. Step 2: Convert to fraction form
    700.80/1,052.16 = 457.92/x
  3. Step 3: Cross multiply
    700.80x = 1,052.16 × 457.92
  4. Step 4: Simplify right side
    700.80x = 481,805.11
  5. Step 5: Solve for x
    x = 481,805.11/700.80
  6. Step 6: Final answer
    x = 687.51

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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.