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Finding the Fourth Proportional to 734.83, 1,013.87 and 473.00

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Solution

The fourth proportional to 734.83, 1,013.87 and 473.00 is: 652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.83 : 1,013.87 = 473.00 : x
  2. Step 2: Convert to fraction form
    734.83/1,013.87 = 473.00/x
  3. Step 3: Cross multiply
    734.83x = 1,013.87 × 473.00
  4. Step 4: Simplify right side
    734.83x = 479,556.88
  5. Step 5: Solve for x
    x = 479,556.88/734.83
  6. Step 6: Final answer
    x = 652.61

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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.