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Finding the Fourth Proportional to 1,133.98, 1,701.67 and 509.27

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Solution

The fourth proportional to 1,133.98, 1,701.67 and 509.27 is: 764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.98 : 1,701.67 = 509.27 : x
  2. Step 2: Convert to fraction form
    1,133.98/1,701.67 = 509.27/x
  3. Step 3: Cross multiply
    1,133.98x = 1,701.67 × 509.27
  4. Step 4: Simplify right side
    1,133.98x = 866,612.46
  5. Step 5: Solve for x
    x = 866,612.46/1,133.98
  6. Step 6: Final answer
    x = 764.22

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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.