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Finding the Fourth Proportional to 842.32, 1,263.66 and 409.72

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Solution

The fourth proportional to 842.32, 1,263.66 and 409.72 is: 614.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.32 : 1,263.66 = 409.72 : x
  2. Step 2: Convert to fraction form
    842.32/1,263.66 = 409.72/x
  3. Step 3: Cross multiply
    842.32x = 1,263.66 × 409.72
  4. Step 4: Simplify right side
    842.32x = 517,746.78
  5. Step 5: Solve for x
    x = 517,746.78/842.32
  6. Step 6: Final answer
    x = 614.67

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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.