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Finding the Fourth Proportional to 1,290.64, 1,936.04 and 366.13

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Solution

The fourth proportional to 1,290.64, 1,936.04 and 366.13 is: 549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.64 : 1,936.04 = 366.13 : x
  2. Step 2: Convert to fraction form
    1,290.64/1,936.04 = 366.13/x
  3. Step 3: Cross multiply
    1,290.64x = 1,936.04 × 366.13
  4. Step 4: Simplify right side
    1,290.64x = 708,838.47
  5. Step 5: Solve for x
    x = 708,838.47/1,290.64
  6. Step 6: Final answer
    x = 549.21

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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.