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Finding the Fourth Proportional to 1,138.64, 1,706.53 and 407.41

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Solution

The fourth proportional to 1,138.64, 1,706.53 and 407.41 is: 610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.64 : 1,706.53 = 407.41 : x
  2. Step 2: Convert to fraction form
    1,138.64/1,706.53 = 407.41/x
  3. Step 3: Cross multiply
    1,138.64x = 1,706.53 × 407.41
  4. Step 4: Simplify right side
    1,138.64x = 695,248.85
  5. Step 5: Solve for x
    x = 695,248.85/1,138.64
  6. Step 6: Final answer
    x = 610.60

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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.