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Finding the Fourth Proportional to 1,130.83, 1,692.36 and 784.55

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Solution

The fourth proportional to 1,130.83, 1,692.36 and 784.55 is: 1,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.83 : 1,692.36 = 784.55 : x
  2. Step 2: Convert to fraction form
    1,130.83/1,692.36 = 784.55/x
  3. Step 3: Cross multiply
    1,130.83x = 1,692.36 × 784.55
  4. Step 4: Simplify right side
    1,130.83x = 1,327,745.27
  5. Step 5: Solve for x
    x = 1,327,745.27/1,130.83
  6. Step 6: Final answer
    x = 1,174.14

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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.