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Finding the Fourth Proportional to 984.51, 1,477.23 and 497.31

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Solution

The fourth proportional to 984.51, 1,477.23 and 497.31 is: 746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.51 : 1,477.23 = 497.31 : x
  2. Step 2: Convert to fraction form
    984.51/1,477.23 = 497.31/x
  3. Step 3: Cross multiply
    984.51x = 1,477.23 × 497.31
  4. Step 4: Simplify right side
    984.51x = 734,641.25
  5. Step 5: Solve for x
    x = 734,641.25/984.51
  6. Step 6: Final answer
    x = 746.20

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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.