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Finding the Fourth Proportional to 762.54, 1,052.35 and 513.90

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Solution

The fourth proportional to 762.54, 1,052.35 and 513.90 is: 709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.54 : 1,052.35 = 513.90 : x
  2. Step 2: Convert to fraction form
    762.54/1,052.35 = 513.90/x
  3. Step 3: Cross multiply
    762.54x = 1,052.35 × 513.90
  4. Step 4: Simplify right side
    762.54x = 540,802.67
  5. Step 5: Solve for x
    x = 540,802.67/762.54
  6. Step 6: Final answer
    x = 709.21

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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.