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Finding the Fourth Proportional to 1,354.59, 2,032.14 and 429.90

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Solution

The fourth proportional to 1,354.59, 2,032.14 and 429.90 is: 644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.59 : 2,032.14 = 429.90 : x
  2. Step 2: Convert to fraction form
    1,354.59/2,032.14 = 429.90/x
  3. Step 3: Cross multiply
    1,354.59x = 2,032.14 × 429.90
  4. Step 4: Simplify right side
    1,354.59x = 873,616.99
  5. Step 5: Solve for x
    x = 873,616.99/1,354.59
  6. Step 6: Final answer
    x = 644.93

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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.