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Finding the Fourth Proportional to 1,176.15, 1,764.63 and 354.40

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Solution

The fourth proportional to 1,176.15, 1,764.63 and 354.40 is: 531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.15 : 1,764.63 = 354.40 : x
  2. Step 2: Convert to fraction form
    1,176.15/1,764.63 = 354.40/x
  3. Step 3: Cross multiply
    1,176.15x = 1,764.63 × 354.40
  4. Step 4: Simplify right side
    1,176.15x = 625,384.87
  5. Step 5: Solve for x
    x = 625,384.87/1,176.15
  6. Step 6: Final answer
    x = 531.72

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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.