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Finding the Fourth Proportional to 749.65, 1,034.57 and 434.99

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Solution

The fourth proportional to 749.65, 1,034.57 and 434.99 is: 600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.65 : 1,034.57 = 434.99 : x
  2. Step 2: Convert to fraction form
    749.65/1,034.57 = 434.99/x
  3. Step 3: Cross multiply
    749.65x = 1,034.57 × 434.99
  4. Step 4: Simplify right side
    749.65x = 450,027.60
  5. Step 5: Solve for x
    x = 450,027.60/749.65
  6. Step 6: Final answer
    x = 600.32

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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.