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Finding the Fourth Proportional to 984.94, 1,477.68 and 497.86

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Solution

The fourth proportional to 984.94, 1,477.68 and 497.86 is: 746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.94 : 1,477.68 = 497.86 : x
  2. Step 2: Convert to fraction form
    984.94/1,477.68 = 497.86/x
  3. Step 3: Cross multiply
    984.94x = 1,477.68 × 497.86
  4. Step 4: Simplify right side
    984.94x = 735,677.76
  5. Step 5: Solve for x
    x = 735,677.76/984.94
  6. Step 6: Final answer
    x = 746.93

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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.