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Finding the Fourth Proportional to 1,360.32, 1,877.10 and 770.88

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Solution

The fourth proportional to 1,360.32, 1,877.10 and 770.88 is: 1,063.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.32 : 1,877.10 = 770.88 : x
  2. Step 2: Convert to fraction form
    1,360.32/1,877.10 = 770.88/x
  3. Step 3: Cross multiply
    1,360.32x = 1,877.10 × 770.88
  4. Step 4: Simplify right side
    1,360.32x = 1,447,018.85
  5. Step 5: Solve for x
    x = 1,447,018.85/1,360.32
  6. Step 6: Final answer
    x = 1,063.73

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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.