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Finding the Fourth Proportional to 1,354.86, 2,030.72 and 622.89

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Solution

The fourth proportional to 1,354.86, 2,030.72 and 622.89 is: 933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.86 : 2,030.72 = 622.89 : x
  2. Step 2: Convert to fraction form
    1,354.86/2,030.72 = 622.89/x
  3. Step 3: Cross multiply
    1,354.86x = 2,030.72 × 622.89
  4. Step 4: Simplify right side
    1,354.86x = 1,264,912.07
  5. Step 5: Solve for x
    x = 1,264,912.07/1,354.86
  6. Step 6: Final answer
    x = 933.61

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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.