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Finding the Fourth Proportional to 935.02, 1,402.03 and 472.33

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Solution

The fourth proportional to 935.02, 1,402.03 and 472.33 is: 708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.02 : 1,402.03 = 472.33 : x
  2. Step 2: Convert to fraction form
    935.02/1,402.03 = 472.33/x
  3. Step 3: Cross multiply
    935.02x = 1,402.03 × 472.33
  4. Step 4: Simplify right side
    935.02x = 662,224.50
  5. Step 5: Solve for x
    x = 662,224.50/935.02
  6. Step 6: Final answer
    x = 708.25

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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.