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Finding the Fourth Proportional to 1,165.47, 1,748.20 and 299.78

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Solution

The fourth proportional to 1,165.47, 1,748.20 and 299.78 is: 449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.47 : 1,748.20 = 299.78 : x
  2. Step 2: Convert to fraction form
    1,165.47/1,748.20 = 299.78/x
  3. Step 3: Cross multiply
    1,165.47x = 1,748.20 × 299.78
  4. Step 4: Simplify right side
    1,165.47x = 524,075.40
  5. Step 5: Solve for x
    x = 524,075.40/1,165.47
  6. Step 6: Final answer
    x = 449.67

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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.