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Finding the Fourth Proportional to 1,164.21, 1,746.57 and 384.18

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Solution

The fourth proportional to 1,164.21, 1,746.57 and 384.18 is: 576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.21 : 1,746.57 = 384.18 : x
  2. Step 2: Convert to fraction form
    1,164.21/1,746.57 = 384.18/x
  3. Step 3: Cross multiply
    1,164.21x = 1,746.57 × 384.18
  4. Step 4: Simplify right side
    1,164.21x = 670,997.26
  5. Step 5: Solve for x
    x = 670,997.26/1,164.21
  6. Step 6: Final answer
    x = 576.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.