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Finding the Fourth Proportional to 764.34, 1,147.02 and 702.38

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Solution

The fourth proportional to 764.34, 1,147.02 and 702.38 is: 1,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.34 : 1,147.02 = 702.38 : x
  2. Step 2: Convert to fraction form
    764.34/1,147.02 = 702.38/x
  3. Step 3: Cross multiply
    764.34x = 1,147.02 × 702.38
  4. Step 4: Simplify right side
    764.34x = 805,643.91
  5. Step 5: Solve for x
    x = 805,643.91/764.34
  6. Step 6: Final answer
    x = 1,054.04

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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.