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Finding the Fourth Proportional to 1,354.82, 2,030.67 and 622.86

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Solution

The fourth proportional to 1,354.82, 2,030.67 and 622.86 is: 933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.82 : 2,030.67 = 622.86 : x
  2. Step 2: Convert to fraction form
    1,354.82/2,030.67 = 622.86/x
  3. Step 3: Cross multiply
    1,354.82x = 2,030.67 × 622.86
  4. Step 4: Simplify right side
    1,354.82x = 1,264,825.08
  5. Step 5: Solve for x
    x = 1,264,825.08/1,354.82
  6. Step 6: Final answer
    x = 933.57

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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.