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Finding the Fourth Proportional to 910.51, 1,365.76 and 727.04

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Solution

The fourth proportional to 910.51, 1,365.76 and 727.04 is: 1,090.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.51 : 1,365.76 = 727.04 : x
  2. Step 2: Convert to fraction form
    910.51/1,365.76 = 727.04/x
  3. Step 3: Cross multiply
    910.51x = 1,365.76 × 727.04
  4. Step 4: Simplify right side
    910.51x = 992,966.47
  5. Step 5: Solve for x
    x = 992,966.47/910.51
  6. Step 6: Final answer
    x = 1,090.56

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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.