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Finding the Fourth Proportional to 1,359.99, 1,877.06 and 770.72

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Solution

The fourth proportional to 1,359.99, 1,877.06 and 770.72 is: 1,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.99 : 1,877.06 = 770.72 : x
  2. Step 2: Convert to fraction form
    1,359.99/1,877.06 = 770.72/x
  3. Step 3: Cross multiply
    1,359.99x = 1,877.06 × 770.72
  4. Step 4: Simplify right side
    1,359.99x = 1,446,674.44
  5. Step 5: Solve for x
    x = 1,446,674.44/1,359.99
  6. Step 6: Final answer
    x = 1,063.74

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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.