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Finding the Fourth Proportional to 755.34, 1,041.06 and 615.16

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Solution

The fourth proportional to 755.34, 1,041.06 and 615.16 is: 847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.34 : 1,041.06 = 615.16 : x
  2. Step 2: Convert to fraction form
    755.34/1,041.06 = 615.16/x
  3. Step 3: Cross multiply
    755.34x = 1,041.06 × 615.16
  4. Step 4: Simplify right side
    755.34x = 640,418.47
  5. Step 5: Solve for x
    x = 640,418.47/755.34
  6. Step 6: Final answer
    x = 847.85

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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.