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Finding the Fourth Proportional to 1,133.80, 1,701.69 and 586.30

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Solution

The fourth proportional to 1,133.80, 1,701.69 and 586.30 is: 879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.80 : 1,701.69 = 586.30 : x
  2. Step 2: Convert to fraction form
    1,133.80/1,701.69 = 586.30/x
  3. Step 3: Cross multiply
    1,133.80x = 1,701.69 × 586.30
  4. Step 4: Simplify right side
    1,133.80x = 997,700.85
  5. Step 5: Solve for x
    x = 997,700.85/1,133.80
  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.