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Finding the Fourth Proportional to 1,095.96, 1,511.76 and 702.84

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Solution

The fourth proportional to 1,095.96, 1,511.76 and 702.84 is: 969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.96 : 1,511.76 = 702.84 : x
  2. Step 2: Convert to fraction form
    1,095.96/1,511.76 = 702.84/x
  3. Step 3: Cross multiply
    1,095.96x = 1,511.76 × 702.84
  4. Step 4: Simplify right side
    1,095.96x = 1,062,525.40
  5. Step 5: Solve for x
    x = 1,062,525.40/1,095.96
  6. Step 6: Final answer
    x = 969.49

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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.