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Finding the Fourth Proportional to 755.03, 1,041.78 and 506.67

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Solution

The fourth proportional to 755.03, 1,041.78 and 506.67 is: 699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.03 : 1,041.78 = 506.67 : x
  2. Step 2: Convert to fraction form
    755.03/1,041.78 = 506.67/x
  3. Step 3: Cross multiply
    755.03x = 1,041.78 × 506.67
  4. Step 4: Simplify right side
    755.03x = 527,838.67
  5. Step 5: Solve for x
    x = 527,838.67/755.03
  6. Step 6: Final answer
    x = 699.10

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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.