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Finding the Fourth Proportional to 731.73, 1,009.76 and 417.01

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Solution

The fourth proportional to 731.73, 1,009.76 and 417.01 is: 575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.73 : 1,009.76 = 417.01 : x
  2. Step 2: Convert to fraction form
    731.73/1,009.76 = 417.01/x
  3. Step 3: Cross multiply
    731.73x = 1,009.76 × 417.01
  4. Step 4: Simplify right side
    731.73x = 421,080.02
  5. Step 5: Solve for x
    x = 421,080.02/731.73
  6. Step 6: Final answer
    x = 575.46

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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.