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Finding the Fourth Proportional to 1,176.37, 1,764.62 and 446.01

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Solution

The fourth proportional to 1,176.37, 1,764.62 and 446.01 is: 669.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.37 : 1,764.62 = 446.01 : x
  2. Step 2: Convert to fraction form
    1,176.37/1,764.62 = 446.01/x
  3. Step 3: Cross multiply
    1,176.37x = 1,764.62 × 446.01
  4. Step 4: Simplify right side
    1,176.37x = 787,038.17
  5. Step 5: Solve for x
    x = 787,038.17/1,176.37
  6. Step 6: Final answer
    x = 669.04

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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.