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Finding the Fourth Proportional to 1,123.51, 1,685.18 and 383.06

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Solution

The fourth proportional to 1,123.51, 1,685.18 and 383.06 is: 574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.51 : 1,685.18 = 383.06 : x
  2. Step 2: Convert to fraction form
    1,123.51/1,685.18 = 383.06/x
  3. Step 3: Cross multiply
    1,123.51x = 1,685.18 × 383.06
  4. Step 4: Simplify right side
    1,123.51x = 645,525.05
  5. Step 5: Solve for x
    x = 645,525.05/1,123.51
  6. Step 6: Final answer
    x = 574.56

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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.