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Finding the Fourth Proportional to 1,506.83, 2,259.14 and 775.89

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Solution

The fourth proportional to 1,506.83, 2,259.14 and 775.89 is: 1,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.83 : 2,259.14 = 775.89 : x
  2. Step 2: Convert to fraction form
    1,506.83/2,259.14 = 775.89/x
  3. Step 3: Cross multiply
    1,506.83x = 2,259.14 × 775.89
  4. Step 4: Simplify right side
    1,506.83x = 1,752,840.26
  5. Step 5: Solve for x
    x = 1,752,840.26/1,506.83
  6. Step 6: Final answer
    x = 1,163.27

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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.