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Finding the Fourth Proportional to 1,170.63, 1,754.60 and 476.91

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Solution

The fourth proportional to 1,170.63, 1,754.60 and 476.91 is: 714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.63 : 1,754.60 = 476.91 : x
  2. Step 2: Convert to fraction form
    1,170.63/1,754.60 = 476.91/x
  3. Step 3: Cross multiply
    1,170.63x = 1,754.60 × 476.91
  4. Step 4: Simplify right side
    1,170.63x = 836,783.90
  5. Step 5: Solve for x
    x = 836,783.90/1,170.63
  6. Step 6: Final answer
    x = 714.82

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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.