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Finding the Fourth Proportional to 1,123.96, 1,684.84 and 546.52

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Solution

The fourth proportional to 1,123.96, 1,684.84 and 546.52 is: 819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.96 : 1,684.84 = 546.52 : x
  2. Step 2: Convert to fraction form
    1,123.96/1,684.84 = 546.52/x
  3. Step 3: Cross multiply
    1,123.96x = 1,684.84 × 546.52
  4. Step 4: Simplify right side
    1,123.96x = 920,798.76
  5. Step 5: Solve for x
    x = 920,798.76/1,123.96
  6. Step 6: Final answer
    x = 819.25

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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.