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Finding the Fourth Proportional to 1,153.76, 1,730.46 and 423.16

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Solution

The fourth proportional to 1,153.76, 1,730.46 and 423.16 is: 634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.76 : 1,730.46 = 423.16 : x
  2. Step 2: Convert to fraction form
    1,153.76/1,730.46 = 423.16/x
  3. Step 3: Cross multiply
    1,153.76x = 1,730.46 × 423.16
  4. Step 4: Simplify right side
    1,153.76x = 732,258.71
  5. Step 5: Solve for x
    x = 732,258.71/1,153.76
  6. Step 6: Final answer
    x = 634.67

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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.