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Finding the Fourth Proportional to 1,119.46, 1,678.46 and 534.14

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Solution

The fourth proportional to 1,119.46, 1,678.46 and 534.14 is: 800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.46 : 1,678.46 = 534.14 : x
  2. Step 2: Convert to fraction form
    1,119.46/1,678.46 = 534.14/x
  3. Step 3: Cross multiply
    1,119.46x = 1,678.46 × 534.14
  4. Step 4: Simplify right side
    1,119.46x = 896,533.96
  5. Step 5: Solve for x
    x = 896,533.96/1,119.46
  6. Step 6: Final answer
    x = 800.87

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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.