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Finding the Fourth Proportional to 1,227.04, 1,693.78 and 785.32

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Solution

The fourth proportional to 1,227.04, 1,693.78 and 785.32 is: 1,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.04 : 1,693.78 = 785.32 : x
  2. Step 2: Convert to fraction form
    1,227.04/1,693.78 = 785.32/x
  3. Step 3: Cross multiply
    1,227.04x = 1,693.78 × 785.32
  4. Step 4: Simplify right side
    1,227.04x = 1,330,159.31
  5. Step 5: Solve for x
    x = 1,330,159.31/1,227.04
  6. Step 6: Final answer
    x = 1,084.04

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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.