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Finding the Fourth Proportional to 1,443.22, 2,164.95 and 702.58

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Solution

The fourth proportional to 1,443.22, 2,164.95 and 702.58 is: 1,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.22 : 2,164.95 = 702.58 : x
  2. Step 2: Convert to fraction form
    1,443.22/2,164.95 = 702.58/x
  3. Step 3: Cross multiply
    1,443.22x = 2,164.95 × 702.58
  4. Step 4: Simplify right side
    1,443.22x = 1,521,050.57
  5. Step 5: Solve for x
    x = 1,521,050.57/1,443.22
  6. Step 6: Final answer
    x = 1,053.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.