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Finding the Fourth Proportional to 1,334.85, 1,999.54 and 924.78

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Solution

The fourth proportional to 1,334.85, 1,999.54 and 924.78 is: 1,385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.85 : 1,999.54 = 924.78 : x
  2. Step 2: Convert to fraction form
    1,334.85/1,999.54 = 924.78/x
  3. Step 3: Cross multiply
    1,334.85x = 1,999.54 × 924.78
  4. Step 4: Simplify right side
    1,334.85x = 1,849,138.05
  5. Step 5: Solve for x
    x = 1,849,138.05/1,334.85
  6. Step 6: Final answer
    x = 1,385.28

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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.