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Finding the Fourth Proportional to 1,133.99, 1,701.89 and 586.33

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Solution

The fourth proportional to 1,133.99, 1,701.89 and 586.33 is: 879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.99 : 1,701.89 = 586.33 : x
  2. Step 2: Convert to fraction form
    1,133.99/1,701.89 = 586.33/x
  3. Step 3: Cross multiply
    1,133.99x = 1,701.89 × 586.33
  4. Step 4: Simplify right side
    1,133.99x = 997,857.72
  5. Step 5: Solve for x
    x = 997,857.72/1,133.99
  6. Step 6: Final answer
    x = 879.96

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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.