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Finding the Fourth Proportional to 1,283.46, 1,771.11 and 723.93

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Solution

The fourth proportional to 1,283.46, 1,771.11 and 723.93 is: 998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.46 : 1,771.11 = 723.93 : x
  2. Step 2: Convert to fraction form
    1,283.46/1,771.11 = 723.93/x
  3. Step 3: Cross multiply
    1,283.46x = 1,771.11 × 723.93
  4. Step 4: Simplify right side
    1,283.46x = 1,282,159.66
  5. Step 5: Solve for x
    x = 1,282,159.66/1,283.46
  6. Step 6: Final answer
    x = 998.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.