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Finding the Fourth Proportional to 1,146.35, 1,719.53 and 280.67

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Solution

The fourth proportional to 1,146.35, 1,719.53 and 280.67 is: 421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.35 : 1,719.53 = 280.67 : x
  2. Step 2: Convert to fraction form
    1,146.35/1,719.53 = 280.67/x
  3. Step 3: Cross multiply
    1,146.35x = 1,719.53 × 280.67
  4. Step 4: Simplify right side
    1,146.35x = 482,612.59
  5. Step 5: Solve for x
    x = 482,612.59/1,146.35
  6. Step 6: Final answer
    x = 421.00

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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.