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Finding the Fourth Proportional to 1,138.16, 1,706.16 and 407.36

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Solution

The fourth proportional to 1,138.16, 1,706.16 and 407.36 is: 610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.16 : 1,706.16 = 407.36 : x
  2. Step 2: Convert to fraction form
    1,138.16/1,706.16 = 407.36/x
  3. Step 3: Cross multiply
    1,138.16x = 1,706.16 × 407.36
  4. Step 4: Simplify right side
    1,138.16x = 695,021.34
  5. Step 5: Solve for x
    x = 695,021.34/1,138.16
  6. Step 6: Final answer
    x = 610.65

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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.