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Finding the Fourth Proportional to 731.12, 1,009.03 and 407.77

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Solution

The fourth proportional to 731.12, 1,009.03 and 407.77 is: 562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.12 : 1,009.03 = 407.77 : x
  2. Step 2: Convert to fraction form
    731.12/1,009.03 = 407.77/x
  3. Step 3: Cross multiply
    731.12x = 1,009.03 × 407.77
  4. Step 4: Simplify right side
    731.12x = 411,453.93
  5. Step 5: Solve for x
    x = 411,453.93/731.12
  6. Step 6: Final answer
    x = 562.77

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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.