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Finding the Fourth Proportional to 922.86, 1,384.70 and 435.78

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Solution

The fourth proportional to 922.86, 1,384.70 and 435.78 is: 653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.86 : 1,384.70 = 435.78 : x
  2. Step 2: Convert to fraction form
    922.86/1,384.70 = 435.78/x
  3. Step 3: Cross multiply
    922.86x = 1,384.70 × 435.78
  4. Step 4: Simplify right side
    922.86x = 603,422.39
  5. Step 5: Solve for x
    x = 603,422.39/922.86
  6. Step 6: Final answer
    x = 653.86

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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.