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Finding the Fourth Proportional to 727.40, 1,003.77 and 412.67

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Solution

The fourth proportional to 727.40, 1,003.77 and 412.67 is: 569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.40 : 1,003.77 = 412.67 : x
  2. Step 2: Convert to fraction form
    727.40/1,003.77 = 412.67/x
  3. Step 3: Cross multiply
    727.40x = 1,003.77 × 412.67
  4. Step 4: Simplify right side
    727.40x = 414,225.77
  5. Step 5: Solve for x
    x = 414,225.77/727.40
  6. Step 6: Final answer
    x = 569.46

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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.