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Finding the Fourth Proportional to 1,170.10, 1,754.96 and 476.74

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Solution

The fourth proportional to 1,170.10, 1,754.96 and 476.74 is: 715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.10 : 1,754.96 = 476.74 : x
  2. Step 2: Convert to fraction form
    1,170.10/1,754.96 = 476.74/x
  3. Step 3: Cross multiply
    1,170.10x = 1,754.96 × 476.74
  4. Step 4: Simplify right side
    1,170.10x = 836,661.23
  5. Step 5: Solve for x
    x = 836,661.23/1,170.10
  6. Step 6: Final answer
    x = 715.03

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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.