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Finding the Fourth Proportional to 1,137.64, 1,706.46 and 368.12

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Solution

The fourth proportional to 1,137.64, 1,706.46 and 368.12 is: 552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.64 : 1,706.46 = 368.12 : x
  2. Step 2: Convert to fraction form
    1,137.64/1,706.46 = 368.12/x
  3. Step 3: Cross multiply
    1,137.64x = 1,706.46 × 368.12
  4. Step 4: Simplify right side
    1,137.64x = 628,182.06
  5. Step 5: Solve for x
    x = 628,182.06/1,137.64
  6. Step 6: Final answer
    x = 552.18

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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.