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Finding the Fourth Proportional to 1,134.95, 1,701.95 and 441.25

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Solution

The fourth proportional to 1,134.95, 1,701.95 and 441.25 is: 661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.95 : 1,701.95 = 441.25 : x
  2. Step 2: Convert to fraction form
    1,134.95/1,701.95 = 441.25/x
  3. Step 3: Cross multiply
    1,134.95x = 1,701.95 × 441.25
  4. Step 4: Simplify right side
    1,134.95x = 750,978.98
  5. Step 5: Solve for x
    x = 750,978.98/1,134.95
  6. Step 6: Final answer
    x = 661.69

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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.