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Finding the Fourth Proportional to 700.83, 1,051.38 and 457.56

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Solution

The fourth proportional to 700.83, 1,051.38 and 457.56 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.83 : 1,051.38 = 457.56 : x
  2. Step 2: Convert to fraction form
    700.83/1,051.38 = 457.56/x
  3. Step 3: Cross multiply
    700.83x = 1,051.38 × 457.56
  4. Step 4: Simplify right side
    700.83x = 481,069.43
  5. Step 5: Solve for x
    x = 481,069.43/700.83
  6. Step 6: Final answer
    x = 686.43

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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.