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Finding the Fourth Proportional to 1,124.30, 1,686.94 and 394.40

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Solution

The fourth proportional to 1,124.30, 1,686.94 and 394.40 is: 591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.30 : 1,686.94 = 394.40 : x
  2. Step 2: Convert to fraction form
    1,124.30/1,686.94 = 394.40/x
  3. Step 3: Cross multiply
    1,124.30x = 1,686.94 × 394.40
  4. Step 4: Simplify right side
    1,124.30x = 665,329.14
  5. Step 5: Solve for x
    x = 665,329.14/1,124.30
  6. Step 6: Final answer
    x = 591.77

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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.