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Finding the Fourth Proportional to 1,137.58, 1,706.82 and 407.20

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Solution

The fourth proportional to 1,137.58, 1,706.82 and 407.20 is: 610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.58 : 1,706.82 = 407.20 : x
  2. Step 2: Convert to fraction form
    1,137.58/1,706.82 = 407.20/x
  3. Step 3: Cross multiply
    1,137.58x = 1,706.82 × 407.20
  4. Step 4: Simplify right side
    1,137.58x = 695,017.10
  5. Step 5: Solve for x
    x = 695,017.10/1,137.58
  6. Step 6: Final answer
    x = 610.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.