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Finding the Fourth Proportional to 745.88, 1,028.70 and 497.30

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Solution

The fourth proportional to 745.88, 1,028.70 and 497.30 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.88 : 1,028.70 = 497.30 : x
  2. Step 2: Convert to fraction form
    745.88/1,028.70 = 497.30/x
  3. Step 3: Cross multiply
    745.88x = 1,028.70 × 497.30
  4. Step 4: Simplify right side
    745.88x = 511,572.51
  5. Step 5: Solve for x
    x = 511,572.51/745.88
  6. Step 6: Final answer
    x = 685.86

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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.