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Finding the Fourth Proportional to 1,134.93, 1,700.78 and 476.09

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Solution

The fourth proportional to 1,134.93, 1,700.78 and 476.09 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.93 : 1,700.78 = 476.09 : x
  2. Step 2: Convert to fraction form
    1,134.93/1,700.78 = 476.09/x
  3. Step 3: Cross multiply
    1,134.93x = 1,700.78 × 476.09
  4. Step 4: Simplify right side
    1,134.93x = 809,729.79
  5. Step 5: Solve for x
    x = 809,729.79/1,134.93
  6. Step 6: Final answer
    x = 713.46

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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.