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Finding the Fourth Proportional to 1,176.58, 1,623.69 and 652.62

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Solution

The fourth proportional to 1,176.58, 1,623.69 and 652.62 is: 900.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.58 : 1,623.69 = 652.62 : x
  2. Step 2: Convert to fraction form
    1,176.58/1,623.69 = 652.62/x
  3. Step 3: Cross multiply
    1,176.58x = 1,623.69 × 652.62
  4. Step 4: Simplify right side
    1,176.58x = 1,059,652.57
  5. Step 5: Solve for x
    x = 1,059,652.57/1,176.58
  6. Step 6: Final answer
    x = 900.62

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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.