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Finding the Fourth Proportional to 749.09, 1,033.62 and 500.01

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Solution

The fourth proportional to 749.09, 1,033.62 and 500.01 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.09 : 1,033.62 = 500.01 : x
  2. Step 2: Convert to fraction form
    749.09/1,033.62 = 500.01/x
  3. Step 3: Cross multiply
    749.09x = 1,033.62 × 500.01
  4. Step 4: Simplify right side
    749.09x = 516,820.34
  5. Step 5: Solve for x
    x = 516,820.34/749.09
  6. Step 6: Final answer
    x = 689.93

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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.