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Finding the Fourth Proportional to 764.47, 1,146.90 and 468.32

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Solution

The fourth proportional to 764.47, 1,146.90 and 468.32 is: 702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.47 : 1,146.90 = 468.32 : x
  2. Step 2: Convert to fraction form
    764.47/1,146.90 = 468.32/x
  3. Step 3: Cross multiply
    764.47x = 1,146.90 × 468.32
  4. Step 4: Simplify right side
    764.47x = 537,110.47
  5. Step 5: Solve for x
    x = 537,110.47/764.47
  6. Step 6: Final answer
    x = 702.60

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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.