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Finding the Fourth Proportional to 1,170.98, 1,756.48 and 305.30

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Solution

The fourth proportional to 1,170.98, 1,756.48 and 305.30 is: 457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.98 : 1,756.48 = 305.30 : x
  2. Step 2: Convert to fraction form
    1,170.98/1,756.48 = 305.30/x
  3. Step 3: Cross multiply
    1,170.98x = 1,756.48 × 305.30
  4. Step 4: Simplify right side
    1,170.98x = 536,253.34
  5. Step 5: Solve for x
    x = 536,253.34/1,170.98
  6. Step 6: Final answer
    x = 457.95

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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.