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Finding the Fourth Proportional to 764.64, 1,146.06 and 417.48

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Solution

The fourth proportional to 764.64, 1,146.06 and 417.48 is: 625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.64 : 1,146.06 = 417.48 : x
  2. Step 2: Convert to fraction form
    764.64/1,146.06 = 417.48/x
  3. Step 3: Cross multiply
    764.64x = 1,146.06 × 417.48
  4. Step 4: Simplify right side
    764.64x = 478,457.13
  5. Step 5: Solve for x
    x = 478,457.13/764.64
  6. Step 6: Final answer
    x = 625.73

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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.