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Finding the Fourth Proportional to 984.66, 1,477.02 and 497.76

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Solution

The fourth proportional to 984.66, 1,477.02 and 497.76 is: 746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.66 : 1,477.02 = 497.76 : x
  2. Step 2: Convert to fraction form
    984.66/1,477.02 = 497.76/x
  3. Step 3: Cross multiply
    984.66x = 1,477.02 × 497.76
  4. Step 4: Simplify right side
    984.66x = 735,201.48
  5. Step 5: Solve for x
    x = 735,201.48/984.66
  6. Step 6: Final answer
    x = 746.66

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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.