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Finding the Fourth Proportional to 1,235.44, 1,702.54 and 885.52

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Solution

The fourth proportional to 1,235.44, 1,702.54 and 885.52 is: 1,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.44 : 1,702.54 = 885.52 : x
  2. Step 2: Convert to fraction form
    1,235.44/1,702.54 = 885.52/x
  3. Step 3: Cross multiply
    1,235.44x = 1,702.54 × 885.52
  4. Step 4: Simplify right side
    1,235.44x = 1,507,633.22
  5. Step 5: Solve for x
    x = 1,507,633.22/1,235.44
  6. Step 6: Final answer
    x = 1,220.32

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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.