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Finding the Fourth Proportional to 749.70, 1,034.54 and 469.80

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Solution

The fourth proportional to 749.70, 1,034.54 and 469.80 is: 648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.70 : 1,034.54 = 469.80 : x
  2. Step 2: Convert to fraction form
    749.70/1,034.54 = 469.80/x
  3. Step 3: Cross multiply
    749.70x = 1,034.54 × 469.80
  4. Step 4: Simplify right side
    749.70x = 486,026.89
  5. Step 5: Solve for x
    x = 486,026.89/749.70
  6. Step 6: Final answer
    x = 648.30

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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.