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Finding the Fourth Proportional to 732.51, 1,097.01 and 497.81

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Solution

The fourth proportional to 732.51, 1,097.01 and 497.81 is: 745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.51 : 1,097.01 = 497.81 : x
  2. Step 2: Convert to fraction form
    732.51/1,097.01 = 497.81/x
  3. Step 3: Cross multiply
    732.51x = 1,097.01 × 497.81
  4. Step 4: Simplify right side
    732.51x = 546,105.29
  5. Step 5: Solve for x
    x = 546,105.29/732.51
  6. Step 6: Final answer
    x = 745.53

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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.