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Finding the Fourth Proportional to 1,137.52, 1,706.30 and 407.62

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Solution

The fourth proportional to 1,137.52, 1,706.30 and 407.62 is: 611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.52 : 1,706.30 = 407.62 : x
  2. Step 2: Convert to fraction form
    1,137.52/1,706.30 = 407.62/x
  3. Step 3: Cross multiply
    1,137.52x = 1,706.30 × 407.62
  4. Step 4: Simplify right side
    1,137.52x = 695,522.01
  5. Step 5: Solve for x
    x = 695,522.01/1,137.52
  6. Step 6: Final answer
    x = 611.44

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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.