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Finding the Fourth Proportional to 920.24, 1,269.08 and 780.20

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Solution

The fourth proportional to 920.24, 1,269.08 and 780.20 is: 1,075.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.24 : 1,269.08 = 780.20 : x
  2. Step 2: Convert to fraction form
    920.24/1,269.08 = 780.20/x
  3. Step 3: Cross multiply
    920.24x = 1,269.08 × 780.20
  4. Step 4: Simplify right side
    920.24x = 990,136.22
  5. Step 5: Solve for x
    x = 990,136.22/920.24
  6. Step 6: Final answer
    x = 1,075.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.