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Finding the Fourth Proportional to 1,095.71, 1,511.70 and 702.95

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Solution

The fourth proportional to 1,095.71, 1,511.70 and 702.95 is: 969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.71 : 1,511.70 = 702.95 : x
  2. Step 2: Convert to fraction form
    1,095.71/1,511.70 = 702.95/x
  3. Step 3: Cross multiply
    1,095.71x = 1,511.70 × 702.95
  4. Step 4: Simplify right side
    1,095.71x = 1,062,649.78
  5. Step 5: Solve for x
    x = 1,062,649.78/1,095.71
  6. Step 6: Final answer
    x = 969.83

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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.