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Finding the Fourth Proportional to 1,354.38, 2,031.65 and 430.01

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Solution

The fourth proportional to 1,354.38, 2,031.65 and 430.01 is: 645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.38 : 2,031.65 = 430.01 : x
  2. Step 2: Convert to fraction form
    1,354.38/2,031.65 = 430.01/x
  3. Step 3: Cross multiply
    1,354.38x = 2,031.65 × 430.01
  4. Step 4: Simplify right side
    1,354.38x = 873,627.67
  5. Step 5: Solve for x
    x = 873,627.67/1,354.38
  6. Step 6: Final answer
    x = 645.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.