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Finding the Fourth Proportional to 983.89, 1,476.75 and 497.28

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Solution

The fourth proportional to 983.89, 1,476.75 and 497.28 is: 746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.89 : 1,476.75 = 497.28 : x
  2. Step 2: Convert to fraction form
    983.89/1,476.75 = 497.28/x
  3. Step 3: Cross multiply
    983.89x = 1,476.75 × 497.28
  4. Step 4: Simplify right side
    983.89x = 734,358.24
  5. Step 5: Solve for x
    x = 734,358.24/983.89
  6. Step 6: Final answer
    x = 746.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.