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Finding the Fourth Proportional to 1,250.03, 1,724.91 and 752.69

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Solution

The fourth proportional to 1,250.03, 1,724.91 and 752.69 is: 1,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.03 : 1,724.91 = 752.69 : x
  2. Step 2: Convert to fraction form
    1,250.03/1,724.91 = 752.69/x
  3. Step 3: Cross multiply
    1,250.03x = 1,724.91 × 752.69
  4. Step 4: Simplify right side
    1,250.03x = 1,298,322.51
  5. Step 5: Solve for x
    x = 1,298,322.51/1,250.03
  6. Step 6: Final answer
    x = 1,038.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.