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Finding the Fourth Proportional to 1,164.06, 1,746.08 and 423.67

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Solution

The fourth proportional to 1,164.06, 1,746.08 and 423.67 is: 635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.06 : 1,746.08 = 423.67 : x
  2. Step 2: Convert to fraction form
    1,164.06/1,746.08 = 423.67/x
  3. Step 3: Cross multiply
    1,164.06x = 1,746.08 × 423.67
  4. Step 4: Simplify right side
    1,164.06x = 739,761.71
  5. Step 5: Solve for x
    x = 739,761.71/1,164.06
  6. Step 6: Final answer
    x = 635.50

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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.