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Finding the Fourth Proportional to 1,182.65, 1,774.16 and 402.70

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Solution

The fourth proportional to 1,182.65, 1,774.16 and 402.70 is: 604.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.65 : 1,774.16 = 402.70 : x
  2. Step 2: Convert to fraction form
    1,182.65/1,774.16 = 402.70/x
  3. Step 3: Cross multiply
    1,182.65x = 1,774.16 × 402.70
  4. Step 4: Simplify right side
    1,182.65x = 714,450.80
  5. Step 5: Solve for x
    x = 714,450.80/1,182.65
  6. Step 6: Final answer
    x = 604.11

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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.