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Finding the Fourth Proportional to 1,164.56, 1,746.90 and 471.21

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Solution

The fourth proportional to 1,164.56, 1,746.90 and 471.21 is: 706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.56 : 1,746.90 = 471.21 : x
  2. Step 2: Convert to fraction form
    1,164.56/1,746.90 = 471.21/x
  3. Step 3: Cross multiply
    1,164.56x = 1,746.90 × 471.21
  4. Step 4: Simplify right side
    1,164.56x = 823,160.78
  5. Step 5: Solve for x
    x = 823,160.78/1,164.56
  6. Step 6: Final answer
    x = 706.84

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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.