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Finding the Fourth Proportional to 1,354.05, 2,030.29 and 429.84

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Solution

The fourth proportional to 1,354.05, 2,030.29 and 429.84 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.05 : 2,030.29 = 429.84 : x
  2. Step 2: Convert to fraction form
    1,354.05/2,030.29 = 429.84/x
  3. Step 3: Cross multiply
    1,354.05x = 2,030.29 × 429.84
  4. Step 4: Simplify right side
    1,354.05x = 872,699.85
  5. Step 5: Solve for x
    x = 872,699.85/1,354.05
  6. Step 6: Final answer
    x = 644.51

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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.