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Finding the Fourth Proportional to 1,164.81, 1,745.45 and 702.07

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Solution

The fourth proportional to 1,164.81, 1,745.45 and 702.07 is: 1,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.81 : 1,745.45 = 702.07 : x
  2. Step 2: Convert to fraction form
    1,164.81/1,745.45 = 702.07/x
  3. Step 3: Cross multiply
    1,164.81x = 1,745.45 × 702.07
  4. Step 4: Simplify right side
    1,164.81x = 1,225,422.84
  5. Step 5: Solve for x
    x = 1,225,422.84/1,164.81
  6. Step 6: Final answer
    x = 1,052.04

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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.