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Finding the Fourth Proportional to 1,127.10, 1,690.65 and 396.58

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Solution

The fourth proportional to 1,127.10, 1,690.65 and 396.58 is: 594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.10 : 1,690.65 = 396.58 : x
  2. Step 2: Convert to fraction form
    1,127.10/1,690.65 = 396.58/x
  3. Step 3: Cross multiply
    1,127.10x = 1,690.65 × 396.58
  4. Step 4: Simplify right side
    1,127.10x = 670,477.98
  5. Step 5: Solve for x
    x = 670,477.98/1,127.10
  6. Step 6: Final answer
    x = 594.87

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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.