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Finding the Fourth Proportional to 1,063.32, 1,467.57 and 615.46

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Solution

The fourth proportional to 1,063.32, 1,467.57 and 615.46 is: 849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.32 : 1,467.57 = 615.46 : x
  2. Step 2: Convert to fraction form
    1,063.32/1,467.57 = 615.46/x
  3. Step 3: Cross multiply
    1,063.32x = 1,467.57 × 615.46
  4. Step 4: Simplify right side
    1,063.32x = 903,223.29
  5. Step 5: Solve for x
    x = 903,223.29/1,063.32
  6. Step 6: Final answer
    x = 849.44

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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.