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Finding the Fourth Proportional to 1,124.30, 1,685.45 and 604.58

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Solution

The fourth proportional to 1,124.30, 1,685.45 and 604.58 is: 906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.30 : 1,685.45 = 604.58 : x
  2. Step 2: Convert to fraction form
    1,124.30/1,685.45 = 604.58/x
  3. Step 3: Cross multiply
    1,124.30x = 1,685.45 × 604.58
  4. Step 4: Simplify right side
    1,124.30x = 1,018,977.91
  5. Step 5: Solve for x
    x = 1,018,977.91/1,124.30
  6. Step 6: Final answer
    x = 906.33

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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.