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Finding the Fourth Proportional to 762.64, 1,051.51 and 513.53

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Solution

The fourth proportional to 762.64, 1,051.51 and 513.53 is: 708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.64 : 1,051.51 = 513.53 : x
  2. Step 2: Convert to fraction form
    762.64/1,051.51 = 513.53/x
  3. Step 3: Cross multiply
    762.64x = 1,051.51 × 513.53
  4. Step 4: Simplify right side
    762.64x = 539,977.37
  5. Step 5: Solve for x
    x = 539,977.37/762.64
  6. Step 6: Final answer
    x = 708.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.