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Finding the Fourth Proportional to 1,133.06, 1,562.09 and 969.03

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Solution

The fourth proportional to 1,133.06, 1,562.09 and 969.03 is: 1,335.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.06 : 1,562.09 = 969.03 : x
  2. Step 2: Convert to fraction form
    1,133.06/1,562.09 = 969.03/x
  3. Step 3: Cross multiply
    1,133.06x = 1,562.09 × 969.03
  4. Step 4: Simplify right side
    1,133.06x = 1,513,707.23
  5. Step 5: Solve for x
    x = 1,513,707.23/1,133.06
  6. Step 6: Final answer
    x = 1,335.95

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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.