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Finding the Fourth Proportional to 730.20, 1,009.62 and 637.98

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Solution

The fourth proportional to 730.20, 1,009.62 and 637.98 is: 882.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.20 : 1,009.62 = 637.98 : x
  2. Step 2: Convert to fraction form
    730.20/1,009.62 = 637.98/x
  3. Step 3: Cross multiply
    730.20x = 1,009.62 × 637.98
  4. Step 4: Simplify right side
    730.20x = 644,117.37
  5. Step 5: Solve for x
    x = 644,117.37/730.20
  6. Step 6: Final answer
    x = 882.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.