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Finding the Fourth Proportional to 1,176.85, 1,624.10 and 645.70

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Solution

The fourth proportional to 1,176.85, 1,624.10 and 645.70 is: 891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.85 : 1,624.10 = 645.70 : x
  2. Step 2: Convert to fraction form
    1,176.85/1,624.10 = 645.70/x
  3. Step 3: Cross multiply
    1,176.85x = 1,624.10 × 645.70
  4. Step 4: Simplify right side
    1,176.85x = 1,048,681.37
  5. Step 5: Solve for x
    x = 1,048,681.37/1,176.85
  6. Step 6: Final answer
    x = 891.09

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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.