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Finding the Fourth Proportional to 1,283.47, 1,771.15 and 723.93

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Solution

The fourth proportional to 1,283.47, 1,771.15 and 723.93 is: 999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.47 : 1,771.15 = 723.93 : x
  2. Step 2: Convert to fraction form
    1,283.47/1,771.15 = 723.93/x
  3. Step 3: Cross multiply
    1,283.47x = 1,771.15 × 723.93
  4. Step 4: Simplify right side
    1,283.47x = 1,282,188.62
  5. Step 5: Solve for x
    x = 1,282,188.62/1,283.47
  6. Step 6: Final answer
    x = 999.00

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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.