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Finding the Fourth Proportional to 1,290.06, 1,934.77 and 903.52

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Solution

The fourth proportional to 1,290.06, 1,934.77 and 903.52 is: 1,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.06 : 1,934.77 = 903.52 : x
  2. Step 2: Convert to fraction form
    1,290.06/1,934.77 = 903.52/x
  3. Step 3: Cross multiply
    1,290.06x = 1,934.77 × 903.52
  4. Step 4: Simplify right side
    1,290.06x = 1,748,093.72
  5. Step 5: Solve for x
    x = 1,748,093.72/1,290.06
  6. Step 6: Final answer
    x = 1,355.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.