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Finding the Fourth Proportional to 764.54, 1,146.47 and 417.99

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Solution

The fourth proportional to 764.54, 1,146.47 and 417.99 is: 626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.54 : 1,146.47 = 417.99 : x
  2. Step 2: Convert to fraction form
    764.54/1,146.47 = 417.99/x
  3. Step 3: Cross multiply
    764.54x = 1,146.47 × 417.99
  4. Step 4: Simplify right side
    764.54x = 479,210.91
  5. Step 5: Solve for x
    x = 479,210.91/764.54
  6. Step 6: Final answer
    x = 626.80

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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.