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Finding the Fourth Proportional to 1,292.49, 1,783.80 and 733.05

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Solution

The fourth proportional to 1,292.49, 1,783.80 and 733.05 is: 1,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.49 : 1,783.80 = 733.05 : x
  2. Step 2: Convert to fraction form
    1,292.49/1,783.80 = 733.05/x
  3. Step 3: Cross multiply
    1,292.49x = 1,783.80 × 733.05
  4. Step 4: Simplify right side
    1,292.49x = 1,307,614.59
  5. Step 5: Solve for x
    x = 1,307,614.59/1,292.49
  6. Step 6: Final answer
    x = 1,011.70

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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.