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Finding the Fourth Proportional to 1,124.98, 1,688.24 and 394.55

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Solution

The fourth proportional to 1,124.98, 1,688.24 and 394.55 is: 592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.98 : 1,688.24 = 394.55 : x
  2. Step 2: Convert to fraction form
    1,124.98/1,688.24 = 394.55/x
  3. Step 3: Cross multiply
    1,124.98x = 1,688.24 × 394.55
  4. Step 4: Simplify right side
    1,124.98x = 666,084.68
  5. Step 5: Solve for x
    x = 666,084.68/1,124.98
  6. Step 6: Final answer
    x = 592.09

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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.