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Finding the Fourth Proportional to 984.95, 1,475.99 and 497.33

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Solution

The fourth proportional to 984.95, 1,475.99 and 497.33 is: 745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.95 : 1,475.99 = 497.33 : x
  2. Step 2: Convert to fraction form
    984.95/1,475.99 = 497.33/x
  3. Step 3: Cross multiply
    984.95x = 1,475.99 × 497.33
  4. Step 4: Simplify right side
    984.95x = 734,051.64
  5. Step 5: Solve for x
    x = 734,051.64/984.95
  6. Step 6: Final answer
    x = 745.27

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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.