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Finding the Fourth Proportional to 1,293.16, 1,784.46 and 733.50

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Solution

The fourth proportional to 1,293.16, 1,784.46 and 733.50 is: 1,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.16 : 1,784.46 = 733.50 : x
  2. Step 2: Convert to fraction form
    1,293.16/1,784.46 = 733.50/x
  3. Step 3: Cross multiply
    1,293.16x = 1,784.46 × 733.50
  4. Step 4: Simplify right side
    1,293.16x = 1,308,901.41
  5. Step 5: Solve for x
    x = 1,308,901.41/1,293.16
  6. Step 6: Final answer
    x = 1,012.17

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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.