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Finding the Fourth Proportional to 764.16, 1,146.30 and 458.10

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Solution

The fourth proportional to 764.16, 1,146.30 and 458.10 is: 687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.16 : 1,146.30 = 458.10 : x
  2. Step 2: Convert to fraction form
    764.16/1,146.30 = 458.10/x
  3. Step 3: Cross multiply
    764.16x = 1,146.30 × 458.10
  4. Step 4: Simplify right side
    764.16x = 525,120.03
  5. Step 5: Solve for x
    x = 525,120.03/764.16
  6. Step 6: Final answer
    x = 687.19

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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.