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Finding the Fourth Proportional to 922.96, 1,384.66 and 435.76

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Solution

The fourth proportional to 922.96, 1,384.66 and 435.76 is: 653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.96 : 1,384.66 = 435.76 : x
  2. Step 2: Convert to fraction form
    922.96/1,384.66 = 435.76/x
  3. Step 3: Cross multiply
    922.96x = 1,384.66 × 435.76
  4. Step 4: Simplify right side
    922.96x = 603,379.44
  5. Step 5: Solve for x
    x = 603,379.44/922.96
  6. Step 6: Final answer
    x = 653.74

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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.