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Finding the Fourth Proportional to 749.07, 1,032.41 and 500.00

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Solution

The fourth proportional to 749.07, 1,032.41 and 500.00 is: 689.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.07 : 1,032.41 = 500.00 : x
  2. Step 2: Convert to fraction form
    749.07/1,032.41 = 500.00/x
  3. Step 3: Cross multiply
    749.07x = 1,032.41 × 500.00
  4. Step 4: Simplify right side
    749.07x = 516,201.09
  5. Step 5: Solve for x
    x = 516,201.09/749.07
  6. Step 6: Final answer
    x = 689.12

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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.