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Finding the Fourth Proportional to 748.58, 1,031.94 and 562.07

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Solution

The fourth proportional to 748.58, 1,031.94 and 562.07 is: 774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.58 : 1,031.94 = 562.07 : x
  2. Step 2: Convert to fraction form
    748.58/1,031.94 = 562.07/x
  3. Step 3: Cross multiply
    748.58x = 1,031.94 × 562.07
  4. Step 4: Simplify right side
    748.58x = 580,025.10
  5. Step 5: Solve for x
    x = 580,025.10/748.58
  6. Step 6: Final answer
    x = 774.84

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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.