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Finding the Fourth Proportional to 1,034.64, 1,551.93 and 486.51

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Solution

The fourth proportional to 1,034.64, 1,551.93 and 486.51 is: 729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.64 : 1,551.93 = 486.51 : x
  2. Step 2: Convert to fraction form
    1,034.64/1,551.93 = 486.51/x
  3. Step 3: Cross multiply
    1,034.64x = 1,551.93 × 486.51
  4. Step 4: Simplify right side
    1,034.64x = 755,033.34
  5. Step 5: Solve for x
    x = 755,033.34/1,034.64
  6. Step 6: Final answer
    x = 729.76

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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.