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Finding the Fourth Proportional to 1,133.15, 1,700.33 and 484.34

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Solution

The fourth proportional to 1,133.15, 1,700.33 and 484.34 is: 726.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.15 : 1,700.33 = 484.34 : x
  2. Step 2: Convert to fraction form
    1,133.15/1,700.33 = 484.34/x
  3. Step 3: Cross multiply
    1,133.15x = 1,700.33 × 484.34
  4. Step 4: Simplify right side
    1,133.15x = 823,526.91
  5. Step 5: Solve for x
    x = 823,526.91/1,133.15
  6. Step 6: Final answer
    x = 726.76

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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.