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Finding the Fourth Proportional to 730.74, 1,009.06 and 510.14

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Solution

The fourth proportional to 730.74, 1,009.06 and 510.14 is: 704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.74 : 1,009.06 = 510.14 : x
  2. Step 2: Convert to fraction form
    730.74/1,009.06 = 510.14/x
  3. Step 3: Cross multiply
    730.74x = 1,009.06 × 510.14
  4. Step 4: Simplify right side
    730.74x = 514,761.87
  5. Step 5: Solve for x
    x = 514,761.87/730.74
  6. Step 6: Final answer
    x = 704.44

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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.