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Finding the Fourth Proportional to 1,134.15, 1,698.49 and 645.72

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Solution

The fourth proportional to 1,134.15, 1,698.49 and 645.72 is: 967.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.15 : 1,698.49 = 645.72 : x
  2. Step 2: Convert to fraction form
    1,134.15/1,698.49 = 645.72/x
  3. Step 3: Cross multiply
    1,134.15x = 1,698.49 × 645.72
  4. Step 4: Simplify right side
    1,134.15x = 1,096,748.96
  5. Step 5: Solve for x
    x = 1,096,748.96/1,134.15
  6. Step 6: Final answer
    x = 967.02

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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.