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Finding the Fourth Proportional to 912.35, 1,259.16 and 702.36

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Solution

The fourth proportional to 912.35, 1,259.16 and 702.36 is: 969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.35 : 1,259.16 = 702.36 : x
  2. Step 2: Convert to fraction form
    912.35/1,259.16 = 702.36/x
  3. Step 3: Cross multiply
    912.35x = 1,259.16 × 702.36
  4. Step 4: Simplify right side
    912.35x = 884,383.62
  5. Step 5: Solve for x
    x = 884,383.62/912.35
  6. Step 6: Final answer
    x = 969.35

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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.