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Finding the Fourth Proportional to 762.78, 1,050.93 and 513.66

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Solution

The fourth proportional to 762.78, 1,050.93 and 513.66 is: 707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.78 : 1,050.93 = 513.66 : x
  2. Step 2: Convert to fraction form
    762.78/1,050.93 = 513.66/x
  3. Step 3: Cross multiply
    762.78x = 1,050.93 × 513.66
  4. Step 4: Simplify right side
    762.78x = 539,820.70
  5. Step 5: Solve for x
    x = 539,820.70/762.78
  6. Step 6: Final answer
    x = 707.70

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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.