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Finding the Fourth Proportional to 1,176.85, 1,624.08 and 645.72

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Solution

The fourth proportional to 1,176.85, 1,624.08 and 645.72 is: 891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.85 : 1,624.08 = 645.72 : x
  2. Step 2: Convert to fraction form
    1,176.85/1,624.08 = 645.72/x
  3. Step 3: Cross multiply
    1,176.85x = 1,624.08 × 645.72
  4. Step 4: Simplify right side
    1,176.85x = 1,048,700.94
  5. Step 5: Solve for x
    x = 1,048,700.94/1,176.85
  6. Step 6: Final answer
    x = 891.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.