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Finding the Fourth Proportional to 1,130.20, 1,692.33 and 909.65

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Solution

The fourth proportional to 1,130.20, 1,692.33 and 909.65 is: 1,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.20 : 1,692.33 = 909.65 : x
  2. Step 2: Convert to fraction form
    1,130.20/1,692.33 = 909.65/x
  3. Step 3: Cross multiply
    1,130.20x = 1,692.33 × 909.65
  4. Step 4: Simplify right side
    1,130.20x = 1,539,427.98
  5. Step 5: Solve for x
    x = 1,539,427.98/1,130.20
  6. Step 6: Final answer
    x = 1,362.08

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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.