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Finding the Fourth Proportional to 1,449.84, 2,175.14 and 475.95

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Solution

The fourth proportional to 1,449.84, 2,175.14 and 475.95 is: 714.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.84 : 2,175.14 = 475.95 : x
  2. Step 2: Convert to fraction form
    1,449.84/2,175.14 = 475.95/x
  3. Step 3: Cross multiply
    1,449.84x = 2,175.14 × 475.95
  4. Step 4: Simplify right side
    1,449.84x = 1,035,264.55
  5. Step 5: Solve for x
    x = 1,035,264.55/1,449.84
  6. Step 6: Final answer
    x = 714.05

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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.