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Finding the Fourth Proportional to 1,123.30, 1,685.26 and 603.08

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Solution

The fourth proportional to 1,123.30, 1,685.26 and 603.08 is: 904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.30 : 1,685.26 = 603.08 : x
  2. Step 2: Convert to fraction form
    1,123.30/1,685.26 = 603.08/x
  3. Step 3: Cross multiply
    1,123.30x = 1,685.26 × 603.08
  4. Step 4: Simplify right side
    1,123.30x = 1,016,341.86
  5. Step 5: Solve for x
    x = 1,016,341.86/1,123.30
  6. Step 6: Final answer
    x = 904.78

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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.