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Finding the Fourth Proportional to 745.81, 1,029.37 and 497.14

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Solution

The fourth proportional to 745.81, 1,029.37 and 497.14 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.81 : 1,029.37 = 497.14 : x
  2. Step 2: Convert to fraction form
    745.81/1,029.37 = 497.14/x
  3. Step 3: Cross multiply
    745.81x = 1,029.37 × 497.14
  4. Step 4: Simplify right side
    745.81x = 511,741.00
  5. Step 5: Solve for x
    x = 511,741.00/745.81
  6. Step 6: Final answer
    x = 686.15

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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.