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Finding the Fourth Proportional to 782.42, 1,173.80 and 288.98

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Solution

The fourth proportional to 782.42, 1,173.80 and 288.98 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.42 : 1,173.80 = 288.98 : x
  2. Step 2: Convert to fraction form
    782.42/1,173.80 = 288.98/x
  3. Step 3: Cross multiply
    782.42x = 1,173.80 × 288.98
  4. Step 4: Simplify right side
    782.42x = 339,206.04
  5. Step 5: Solve for x
    x = 339,206.04/782.42
  6. Step 6: Final answer
    x = 433.53

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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.