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Finding the Fourth Proportional to 1,229.19, 1,695.56 and 786.93

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Solution

The fourth proportional to 1,229.19, 1,695.56 and 786.93 is: 1,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.19 : 1,695.56 = 786.93 : x
  2. Step 2: Convert to fraction form
    1,229.19/1,695.56 = 786.93/x
  3. Step 3: Cross multiply
    1,229.19x = 1,695.56 × 786.93
  4. Step 4: Simplify right side
    1,229.19x = 1,334,283.10
  5. Step 5: Solve for x
    x = 1,334,283.10/1,229.19
  6. Step 6: Final answer
    x = 1,085.50

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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.