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Finding the Fourth Proportional to 1,145, 1,580.49 and 771.74

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Solution

The fourth proportional to 1,145, 1,580.49 and 771.74 is: 1,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145 : 1,580.49 = 771.74 : x
  2. Step 2: Convert to fraction form
    1,145/1,580.49 = 771.74/x
  3. Step 3: Cross multiply
    1,145x = 1,580.49 × 771.74
  4. Step 4: Simplify right side
    1,145x = 1,219,727.35
  5. Step 5: Solve for x
    x = 1,219,727.35/1,145
  6. Step 6: Final answer
    x = 1,065.26

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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.