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Finding the Fourth Proportional to 727.04, 1,003.32 and 412.32

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Solution

The fourth proportional to 727.04, 1,003.32 and 412.32 is: 569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.04 : 1,003.32 = 412.32 : x
  2. Step 2: Convert to fraction form
    727.04/1,003.32 = 412.32/x
  3. Step 3: Cross multiply
    727.04x = 1,003.32 × 412.32
  4. Step 4: Simplify right side
    727.04x = 413,688.90
  5. Step 5: Solve for x
    x = 413,688.90/727.04
  6. Step 6: Final answer
    x = 569.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.