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Finding the Fourth Proportional to 728.66, 1,090.94 and 509.06

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Solution

The fourth proportional to 728.66, 1,090.94 and 509.06 is: 762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.66 : 1,090.94 = 509.06 : x
  2. Step 2: Convert to fraction form
    728.66/1,090.94 = 509.06/x
  3. Step 3: Cross multiply
    728.66x = 1,090.94 × 509.06
  4. Step 4: Simplify right side
    728.66x = 555,345.92
  5. Step 5: Solve for x
    x = 555,345.92/728.66
  6. Step 6: Final answer
    x = 762.15

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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.