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Finding the Fourth Proportional to 1,032.59, 1,426.25 and 771.77

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Solution

The fourth proportional to 1,032.59, 1,426.25 and 771.77 is: 1,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.59 : 1,426.25 = 771.77 : x
  2. Step 2: Convert to fraction form
    1,032.59/1,426.25 = 771.77/x
  3. Step 3: Cross multiply
    1,032.59x = 1,426.25 × 771.77
  4. Step 4: Simplify right side
    1,032.59x = 1,100,733.10
  5. Step 5: Solve for x
    x = 1,100,733.10/1,032.59
  6. Step 6: Final answer
    x = 1,065.99

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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.