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Finding the Fourth Proportional to 983.93, 1,476.32 and 497.30

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Solution

The fourth proportional to 983.93, 1,476.32 and 497.30 is: 746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.93 : 1,476.32 = 497.30 : x
  2. Step 2: Convert to fraction form
    983.93/1,476.32 = 497.30/x
  3. Step 3: Cross multiply
    983.93x = 1,476.32 × 497.30
  4. Step 4: Simplify right side
    983.93x = 734,164.07
  5. Step 5: Solve for x
    x = 734,164.07/983.93
  6. Step 6: Final answer
    x = 746.16

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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.