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Finding the Fourth Proportional to 762.42, 1,050.87 and 513.63

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Solution

The fourth proportional to 762.42, 1,050.87 and 513.63 is: 707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.42 : 1,050.87 = 513.63 : x
  2. Step 2: Convert to fraction form
    762.42/1,050.87 = 513.63/x
  3. Step 3: Cross multiply
    762.42x = 1,050.87 × 513.63
  4. Step 4: Simplify right side
    762.42x = 539,758.36
  5. Step 5: Solve for x
    x = 539,758.36/762.42
  6. Step 6: Final answer
    x = 707.95

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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.