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Finding the Fourth Proportional to 749.21, 1,034.10 and 469.26

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Solution

The fourth proportional to 749.21, 1,034.10 and 469.26 is: 647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.21 : 1,034.10 = 469.26 : x
  2. Step 2: Convert to fraction form
    749.21/1,034.10 = 469.26/x
  3. Step 3: Cross multiply
    749.21x = 1,034.10 × 469.26
  4. Step 4: Simplify right side
    749.21x = 485,261.77
  5. Step 5: Solve for x
    x = 485,261.77/749.21
  6. Step 6: Final answer
    x = 647.70

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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.