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Finding the Fourth Proportional to 984.89, 1,477.04 and 869.47

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Solution

The fourth proportional to 984.89, 1,477.04 and 869.47 is: 1,303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.89 : 1,477.04 = 869.47 : x
  2. Step 2: Convert to fraction form
    984.89/1,477.04 = 869.47/x
  3. Step 3: Cross multiply
    984.89x = 1,477.04 × 869.47
  4. Step 4: Simplify right side
    984.89x = 1,284,233.93
  5. Step 5: Solve for x
    x = 1,284,233.93/984.89
  6. Step 6: Final answer
    x = 1,303.93

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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.